40928160 has 192 divisors, whose sum is σ = 158844672. Its totient is φ = 8626176.

The previous prime is 40928149. The next prime is 40928161. The reversal of 40928160 is 6182904.

It is a super-2 number, since 2×40928160² = 3350228561971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40928161) 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, 43212 + ... + 44148.

It is an arithmetic number, because the mean of its divisors is an integer number (827316).

Almost surely, 2^40928160 is an apocalyptic number.

40928160 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 40928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79422336).

40928160 is an abundant number, since it is smaller than the sum of its proper divisors (117916512).

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

40928160 is a wasteful number, since it uses less digits than its factorization.

40928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 40928160 is about 6397.5120164014. The cubic root of 40928160 is about 344.6202079797.

The spelling of 40928160 in words is "forty million, nine hundred twenty-eight thousand, one hundred sixty".