40960080 has 360 divisors, whose sum is σ = 169801632. Its totient is φ = 9144576.

The previous prime is 40960063. The next prime is 40960091. The reversal of 40960080 is 8006904.

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 a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 952539 + ... + 952581.

Almost surely, 2^40960080 is an apocalyptic number.

40960080 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 40960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

40960080 is an abundant number, since it is smaller than the sum of its proper divisors (128841552).

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

40960080 is a wasteful number, since it uses less digits than its factorization.

40960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40960080 is about 6400.0062499969. The cubic root of 40960080 is about 344.7097748252.

Adding to 40960080 its reverse (8006904), we get a palindrome (48966984).

It can be divided in two parts, 409600 and 80, that multiplied together give a cube (32768000 = 320³).

The spelling of 40960080 in words is "forty million, nine hundred sixty thousand, eighty".