40645152 has 72 divisors (see below), whose sum is σ = 119888496. Its totient is φ = 13545792.

The previous prime is 40645133. The next prime is 40645217. The reversal of 40645152 is 25154604.

40645152 is a `hidden beast` number, since 4 + 0 + 645 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40645152² = 3304056762206208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5163 + ... + 10389.

It is an arithmetic number, because the mean of its divisors is an integer number (1665118).

Almost surely, 2^40645152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59944248).

40645152 is an abundant number, since it is smaller than the sum of its proper divisors (79243344).

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

40645152 is an equidigital number, since it uses as much as digits as its factorization.

40645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40645152 is about 6375.3550489365. The cubic root of 40645152 is about 343.8240491935.

Adding to 40645152 its reverse (25154604), we get a palindrome (65799756).

It can be divided in two parts, 4064 and 5152, that added together give a square (9216 = 96²).

The spelling of 40645152 in words is "forty million, six hundred forty-five thousand, one hundred fifty-two".