40904160 has 192 divisors, whose sum is σ = 143990784. Its totient is φ = 9676800.

The previous prime is 40904153. The next prime is 40904161. The reversal of 40904160 is 6140904.

It is a super-3 number, since 3×40904160³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40904160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40904161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322017 + ... + 322143.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^40904160 is an apocalyptic number.

40904160 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 40904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

40904160 is an abundant number, since it is smaller than the sum of its proper divisors (103086624).

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

40904160 is a wasteful number, since it uses less digits than its factorization.

40904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 40904160 is about 6395.6360121570. The cubic root of 40904160 is about 344.5528338117.

The spelling of 40904160 in words is "forty million, nine hundred four thousand, one hundred sixty".