402868838400 has 672 divisors, whose sum is σ = 1532362541568. Its totient is φ = 91481702400.

The previous prime is 402868838377. The next prime is 402868838431. The reversal of 402868838400 is 4838868204.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1217126235 + ... + 1217126565.

Almost surely, 2^402868838400 is an apocalyptic number.

402868838400 is a gapful number since it is divisible by the number (40) 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 402868838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766181270784).

402868838400 is an abundant number, since it is smaller than the sum of its proper divisors (1129493703168).

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

402868838400 is a wasteful number, since it uses less digits than its factorization.

402868838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 402868838400 in words is "four hundred two billion, eight hundred sixty-eight million, eight hundred thirty-eight thousand, four hundred".