40904364960 has 336 divisors, whose sum is σ = 147289401000. Its totient is φ = 10727147520.

The previous prime is 40904364937. The next prime is 40904364961. The reversal of 40904364960 is 6946340904.

It is a happy number.

40904364960 is a `hidden beast` number, since 40 + 90 + 4 + 36 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8646768144 + 32257596816 = 92988^2 + 179604^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40904364961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7112166 + ... + 7117914.

Almost surely, 2^40904364960 is an apocalyptic number.

40904364960 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 40904364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73644700500).

40904364960 is an abundant number, since it is smaller than the sum of its proper divisors (106385036040).

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

40904364960 is an equidigital number, since it uses as much as digits as its factorization.

40904364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 40904364960 in words is "forty billion, nine hundred four million, three hundred sixty-four thousand, nine hundred sixty".