402551016516264 has 256 divisors, whose sum is σ = 1256750749900800. Its totient is φ = 104388285254400.

The previous prime is 402551016516221. The next prime is 402551016516283. The reversal of 402551016516264 is 462615610155204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3865167439 + ... + 3865271585.

It is an arithmetic number, because the mean of its divisors is an integer number (4909182616800).

Almost surely, 2^{402551016516264} is an apocalyptic number.

402551016516264 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 402551016516264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628375374950400).

402551016516264 is an abundant number, since it is smaller than the sum of its proper divisors (854199733384536).

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

402551016516264 is a wasteful number, since it uses less digits than its factorization.

402551016516264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107564 (or 107560 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 402551016516264 in words is "four hundred two trillion, five hundred fifty-one billion, sixteen million, five hundred sixteen thousand, two hundred sixty-four".