402150598848 has 896 divisors, whose sum is σ = 1334724889600. Its totient is φ = 119723028480.

The previous prime is 402150598823. The next prime is 402150598873. The reversal of 402150598848 is 848895051204.

402150598848 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 5 + 0 + 598 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (402150598823) and next prime (402150598873).

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

It is a junction number, because it is equal to n+sod(n) for n = 402150598794 and 402150598803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6002247711 + ... + 6002247777.

Almost surely, 2^402150598848 is an apocalyptic number.

402150598848 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 402150598848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667362444800).

402150598848 is an abundant number, since it is smaller than the sum of its proper divisors (932574290752).

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

402150598848 is an equidigital number, since it uses as much as digits as its factorization.

402150598848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 402150598848 in words is "four hundred two billion, one hundred fifty million, five hundred ninety-eight thousand, eight hundred forty-eight".