40504968 has 192 divisors, whose sum is σ = 135432000. Its totient is φ = 11176704.

The previous prime is 40504921. The next prime is 40504987. The reversal of 40504968 is 86940504.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455068 + ... + 455156.

It is an arithmetic number, because the mean of its divisors is an integer number (705375).

Almost surely, 2^40504968 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 40504968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716000).

40504968 is an abundant number, since it is smaller than the sum of its proper divisors (94927032).

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

40504968 is a wasteful number, since it uses less digits than its factorization.

40504968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40504968 is about 6364.3513416530. The cubic root of 40504968 is about 343.4283140199.

It can be divided in two parts, 4050496 and 8, that added together give a palindrome (4050504).

The spelling of 40504968 in words is "forty million, five hundred four thousand, nine hundred sixty-eight".