402074347680 has 72 divisors (see below), whose sum is σ = 1372078716372. Its totient is φ = 107219825664.

The previous prime is 402074347679. The next prime is 402074347693. The reversal of 402074347680 is 86743470204.

402074347680 is a `hidden beast` number, since 4 + 0 + 207 + 434 + 7 + 6 + 8 + 0 = 666.

402074347680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 356280059664 + 45794288016 = 596892^2 + 213996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 139607709 + ... + 139610588.

Almost surely, 2^402074347680 is an apocalyptic number.

402074347680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402074347680 is an abundant number, since it is smaller than the sum of its proper divisors (970004368692).

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

402074347680 is a wasteful number, since it uses less digits than its factorization.

402074347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279218318 (or 279218307 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 402074347680 in words is "four hundred two billion, seventy-four million, three hundred forty-seven thousand, six hundred eighty".