40624416 has 120 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 11601792.

The previous prime is 40624393. The next prime is 40624439. The reversal of 40624416 is 61442604.

40624416 is a `hidden beast` number, since 406 + 244 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (40624393) and next prime (40624439).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40624416.

It is a congruent number.

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, 17025 + ... + 19263.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 2^40624416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

40624416 is an abundant number, since it is smaller than the sum of its proper divisors (95979744).

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

40624416 is a wasteful number, since it uses less digits than its factorization.

40624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40624416 is about 6373.7285790972. The cubic root of 40624416 is about 343.7655694987.

The spelling of 40624416 in words is "forty million, six hundred twenty-four thousand, four hundred sixteen".