402643141639200 has 2880 divisors, whose sum is σ = 1929334044718080. Its totient is φ = 79168140288000.

The previous prime is 402643141639171. The next prime is 402643141639301. The reversal of 402643141639200 is 2936141346204.

402643141639200 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 4 + 3 + 1 + 4 + 1 + 639 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 100585344399 + ... + 100585348401.

It is an arithmetic number, because the mean of its divisors is an integer number (669907654416).

Almost surely, 2^{402643141639200} is an apocalyptic number.

402643141639200 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 402643141639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964667022359040).

402643141639200 is an abundant number, since it is smaller than the sum of its proper divisors (1526690903078880).

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

402643141639200 is a wasteful number, since it uses less digits than its factorization.

402643141639200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 402643141639200 in words is "four hundred two trillion, six hundred forty-three billion, one hundred forty-one million, six hundred thirty-nine thousand, two hundred".