40965120 has 264 divisors, whose sum is σ = 163497984. Its totient is φ = 9289728.

The previous prime is 40965103. The next prime is 40965157. The reversal of 40965120 is 2156904.

40965120 is a `hidden beast` number, since 4 + 0 + 9 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×40965120² = 3356282113228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 322497 + ... + 322623.

Almost surely, 2^40965120 is an apocalyptic number.

40965120 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 40965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81748992).

40965120 is an abundant number, since it is smaller than the sum of its proper divisors (122532864).

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

40965120 is a wasteful number, since it uses less digits than its factorization.

40965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40965120 is about 6400.3999875008. The cubic root of 40965120 is about 344.7239127046.

It can be divided in two parts, 4096 and 5120, that added together give a square (9216 = 96²).

The spelling of 40965120 in words is "forty million, nine hundred sixty-five thousand, one hundred twenty".