402391888128 has 648 divisors, whose sum is σ = 1276660030464. Its totient is φ = 126351912960.

The previous prime is 402391888127. The next prime is 402391888147. The reversal of 402391888128 is 821888193204.

402391888128 is a `hidden beast` number, since 402 + 39 + 1 + 8 + 88 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (402391888127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3168440001 + ... + 3168440127.

It is an arithmetic number, because the mean of its divisors is an integer number (1970154368).

Almost surely, 2^402391888128 is an apocalyptic number.

402391888128 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 402391888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638330015232).

402391888128 is an abundant number, since it is smaller than the sum of its proper divisors (874268142336).

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

402391888128 is an equidigital number, since it uses as much as digits as its factorization.

402391888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 402391888128 in words is "four hundred two billion, three hundred ninety-one million, eight hundred eighty-eight thousand, one hundred twenty-eight".