40396160 has 128 divisors (see below), whose sum is σ = 112803840. Its totient is φ = 13547520.

The previous prime is 40396157. The next prime is 40396177. The reversal of 40396160 is 6169304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318017 + ... + 318143.

It is an arithmetic number, because the mean of its divisors is an integer number (881280).

Almost surely, 2^40396160 is an apocalyptic number.

40396160 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 40396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56401920).

40396160 is an abundant number, since it is smaller than the sum of its proper divisors (72407680).

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

40396160 is a wasteful number, since it uses less digits than its factorization.

40396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 40396160 is about 6355.7973535977. The cubic root of 40396160 is about 343.1205224902.

The spelling of 40396160 in words is "forty million, three hundred ninety-six thousand, one hundred sixty".