402431705088 has 512 divisors, whose sum is σ = 1309408174080. Its totient is φ = 107442339840.

The previous prime is 402431705077. The next prime is 402431705141. The reversal of 402431705088 is 880507134204.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743866098 + ... + 743866638.

It is an arithmetic number, because the mean of its divisors is an integer number (2557437840).

Almost surely, 2^402431705088 is an apocalyptic number.

402431705088 is a gapful number since it is divisible by the number (48) 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 402431705088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654704087040).

402431705088 is an abundant number, since it is smaller than the sum of its proper divisors (906976468992).

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

402431705088 is an equidigital number, since it uses as much as digits as its factorization.

402431705088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 402431705088 in words is "four hundred two billion, four hundred thirty-one million, seven hundred five thousand, eighty-eight".