402444908928 has 384 divisors, whose sum is σ = 1223385845760. Its totient is φ = 126740275200.

The previous prime is 402444908897. The next prime is 402444908953. The reversal of 402444908928 is 829809444204.

It is a happy number.

402444908928 is a `hidden beast` number, since 40 + 24 + 4 + 490 + 8 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422066675 + ... + 1422066957.

It is an arithmetic number, because the mean of its divisors is an integer number (3185900640).

Almost surely, 2^402444908928 is an apocalyptic number.

402444908928 is a gapful number since it is divisible by the number (48) 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 402444908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611692922880).

402444908928 is an abundant number, since it is smaller than the sum of its proper divisors (820940936832).

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

402444908928 is a wasteful number, since it uses less digits than its factorization.

402444908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 402444908928 in words is "four hundred two billion, four hundred forty-four million, nine hundred eight thousand, nine hundred twenty-eight".