402858476640 has 480 divisors, whose sum is σ = 1437243103296. Its totient is φ = 106266193920.

The previous prime is 402858476617. The next prime is 402858476651. The reversal of 402858476640 is 46674858204.

It is a happy number.

402858476640 is a `hidden beast` number, since 40 + 28 + 58 + 476 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 616934554 + ... + 616935206.

Almost surely, 2^402858476640 is an apocalyptic number.

402858476640 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 402858476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718621551648).

402858476640 is an abundant number, since it is smaller than the sum of its proper divisors (1034384626656).

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

402858476640 is a wasteful number, since it uses less digits than its factorization.

402858476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 402858476640 in words is "four hundred two billion, eight hundred fifty-eight million, four hundred seventy-six thousand, six hundred forty".