402562868224 has 176 divisors, whose sum is σ = 903994502400. Its totient is φ = 177596375040.

The previous prime is 402562868161. The next prime is 402562868249. The reversal of 402562868224 is 422868265204.

It is a tau number, because it is divible by the number of its divisors (176).

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 15 ways as a sum of consecutive naturals, for example, 78946827 + ... + 78951925.

It is an arithmetic number, because the mean of its divisors is an integer number (5136332400).

Almost surely, 2^402562868224 is an apocalyptic number.

402562868224 is a gapful number since it is divisible by the number (44) 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 402562868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451997251200).

402562868224 is an abundant number, since it is smaller than the sum of its proper divisors (501431634176).

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

402562868224 is a wasteful number, since it uses less digits than its factorization.

402562868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

The spelling of 402562868224 in words is "four hundred two billion, five hundred sixty-two million, eight hundred sixty-eight thousand, two hundred twenty-four".