402862670496 has 1296 divisors, whose sum is σ = 1500184838880. Its totient is φ = 105293260800.

The previous prime is 402862670473. The next prime is 402862670593. The reversal of 402862670496 is 694076268204.

402862670496 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 626 + 7 + 0 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12995570001 + ... + 12995570031.

It is an arithmetic number, because the mean of its divisors is an integer number (1157550030).

Almost surely, 2^402862670496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402862670496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750092419440).

402862670496 is an abundant number, since it is smaller than the sum of its proper divisors (1097322168384).

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

402862670496 is a wasteful number, since it uses less digits than its factorization.

402862670496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 402862670496 in words is "four hundred two billion, eight hundred sixty-two million, six hundred seventy thousand, four hundred ninety-six".