40642560 has 360 divisors, whose sum is σ = 169459290. Its totient is φ = 9289728.

The previous prime is 40642549. The next prime is 40642571. The reversal of 40642560 is 6524604.

It is a happy number.

40642560 is a `hidden beast` number, since 40 + 64 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (40642549) and next prime (40642571).

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 4064256 = 6048^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5806077 + ... + 5806083.

Almost surely, 2^40642560 is an apocalyptic number.

40642560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84729645).

40642560 is an abundant number, since it is smaller than the sum of its proper divisors (128816730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40642560 is an equidigital number, since it uses as much as digits as its factorization.

40642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40642560 is about 6375.1517628995. The cubic root of 40642560 is about 343.8167403195.

Multiplying 40642560 by its product of nonzero digits (5760), we get a square (234101145600 = 483840²).

40642560 divided by its product of nonzero digits (5760) gives a square (7056 = 84²).

The spelling of 40642560 in words is "forty million, six hundred forty-two thousand, five hundred sixty".