402554130906816 has 224 divisors, whose sum is σ = 1352875572892160. Its totient is φ = 114983245440000.

The previous prime is 402554130906779. The next prime is 402554130906953. The reversal of 402554130906816 is 618609031455204.

402554130906816 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 541 + 3 + 0 + 90 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38535066 + ... + 47854566.

Almost surely, 2^{402554130906816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402554130906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676437786446080).

402554130906816 is an abundant number, since it is smaller than the sum of its proper divisors (950321441985344).

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

402554130906816 is a wasteful number, since it uses less digits than its factorization.

402554130906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323100 (or 9323084 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 402554130906816 in words is "four hundred two trillion, five hundred fifty-four billion, one hundred thirty million, nine hundred six thousand, eight hundred sixteen".