402491084160 has 256 divisors, whose sum is σ = 1444721080320. Its totient is φ = 94425907200.

The previous prime is 402491084123. The next prime is 402491084173. The reversal of 402491084160 is 61480194204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 347344 + ... + 962096.

It is an arithmetic number, because the mean of its divisors is an integer number (5643441720).

Almost surely, 2^402491084160 is an apocalyptic number.

402491084160 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 402491084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722360540160).

402491084160 is an abundant number, since it is smaller than the sum of its proper divisors (1042229996160).

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

402491084160 is a wasteful number, since it uses less digits than its factorization.

402491084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614817 (or 614805 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 402491084160 in words is "four hundred two billion, four hundred ninety-one million, eighty-four thousand, one hundred sixty".