402834838560 has 384 divisors, whose sum is σ = 1598366214144. Its totient is φ = 82842255360.

The previous prime is 402834838499. The next prime is 402834838597. The reversal of 402834838560 is 65838438204.

It is a super-2 number, since 2×402834838560² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3528939 + ... + 3641301.

It is an arithmetic number, because the mean of its divisors is an integer number (4162412016).

Almost surely, 2^402834838560 is an apocalyptic number.

402834838560 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 402834838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799183107072).

402834838560 is an abundant number, since it is smaller than the sum of its proper divisors (1195531375584).

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

402834838560 is a wasteful number, since it uses less digits than its factorization.

402834838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112496 (or 112488 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 402834838560 in words is "four hundred two billion, eight hundred thirty-four million, eight hundred thirty-eight thousand, five hundred sixty".