40616640 has 140 divisors (see below), whose sum is σ = 144572736. Its totient is φ = 10824192.

The previous prime is 40616633. The next prime is 40616651. The reversal of 40616640 is 4661604.

40616640 is a `hidden beast` number, since 4 + 0 + 6 + 16 + 640 = 666.

It is a super-2 number, since 2×40616640² = 3299422889779200, 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 19 ways as a sum of consecutive naturals, for example, 25137 + ... + 26703.

Almost surely, 2^40616640 is an apocalyptic number.

40616640 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 40616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286368).

40616640 is an abundant number, since it is smaller than the sum of its proper divisors (103956096).

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

40616640 is a wasteful number, since it uses less digits than its factorization.

40616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40616640 is about 6373.1185458926. The cubic root of 40616640 is about 343.7436344827.

It can be divided in two parts, 4061 and 6640, that added together give a palindrome (10701).

The spelling of 40616640 in words is "forty million, six hundred sixteen thousand, six hundred forty".