40904675460 has 768 divisors, whose sum is σ = 154673971200. Its totient is φ = 8858419200.

The previous prime is 40904675447. The next prime is 40904675507. The reversal of 40904675460 is 6457640904.

40904675460 is a `hidden beast` number, since 40 + 9 + 0 + 4 + 67 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 228517651 + ... + 228517829.

It is an arithmetic number, because the mean of its divisors is an integer number (201398400).

Almost surely, 2^40904675460 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 40904675460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77336985600).

40904675460 is an abundant number, since it is smaller than the sum of its proper divisors (113769295740).

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

40904675460 is a wasteful number, since it uses less digits than its factorization.

40904675460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40904675460 in words is "forty billion, nine hundred four million, six hundred seventy-five thousand, four hundred sixty".