40556160 has 128 divisors (see below), whose sum is σ = 143697600. Its totient is φ = 10810368.

The previous prime is 40556119. The next prime is 40556177. The reversal of 40556160 is 6165504.

It is a happy number.

40556160 is a `hidden beast` number, since 40 + 5 + 5 + 616 + 0 = 666.

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

It is a super-2 number, since 2×40556160² = 3289604227891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16107 + ... + 18453.

Almost surely, 2^40556160 is an apocalyptic number.

40556160 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 40556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71848800).

40556160 is an abundant number, since it is smaller than the sum of its proper divisors (103141440).

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

40556160 is a wasteful number, since it uses less digits than its factorization.

40556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 40556160 is about 6368.3718484398. The cubic root of 40556160 is about 343.5729331605.

It can be divided in two parts, 405 and 56160, that added together give a palindrome (56565).

The spelling of 40556160 in words is "forty million, five hundred fifty-six thousand, one hundred sixty".