40900160 has 168 divisors, whose sum is σ = 121066560. Its totient is φ = 12856320.

The previous prime is 40900127. The next prime is 40900177. The reversal of 40900160 is 6100904.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319345 + ... + 1319375.

Almost surely, 2^40900160 is an apocalyptic number.

40900160 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 40900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60533280).

40900160 is an abundant number, since it is smaller than the sum of its proper divisors (80166400).

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

40900160 is a wasteful number, since it uses less digits than its factorization.

40900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 40900160 is about 6395.3232912809. The cubic root of 40900160 is about 344.5416022217.

The spelling of 40900160 in words is "forty million, nine hundred thousand, one hundred sixty".