402866028302400 has 3360 divisors, whose sum is σ = 1666604980232192. Its totient is φ = 94810963968000.

The previous prime is 402866028302393. The next prime is 402866028302401. The reversal of 402866028302400 is 4203820668204.

402866028302400 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 6 + 602 + 8 + 30 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (402866028302401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1195448155032 + ... + 1195448155368.

Almost surely, 2^{402866028302400} is an apocalyptic number.

402866028302400 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 402866028302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833302490116096).

402866028302400 is an abundant number, since it is smaller than the sum of its proper divisors (1263738951929792).

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

402866028302400 is a wasteful number, since it uses less digits than its factorization.

402866028302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 402866028302400 in words is "four hundred two trillion, eight hundred sixty-six billion, twenty-eight million, three hundred two thousand, four hundred".