40684800960 has 112 divisors (see below), whose sum is σ = 143526967200. Its totient is φ = 10849277952.

The previous prime is 40684800943. The next prime is 40684800967. The reversal of 40684800960 is 6900848604.

It is a happy number.

40684800960 is a `hidden beast` number, since 406 + 84 + 80 + 0 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40684800967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345805 + ... + 2363084.

Almost surely, 2^40684800960 is an apocalyptic number.

40684800960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40684800960 is an abundant number, since it is smaller than the sum of its proper divisors (102842166240).

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

40684800960 is a wasteful number, since it uses less digits than its factorization.

40684800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708915 (or 4708899 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40684800960 in words is "forty billion, six hundred eighty-four million, eight hundred thousand, nine hundred sixty".