402105328800 has 432 divisors, whose sum is σ = 1528449797952. Its totient is φ = 91553280000.

The previous prime is 402105328741. The next prime is 402105328819. The reversal of 402105328800 is 8823501204.

It is a super-2 number, since 2×402105328800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 30922300 + ... + 30935300.

It is an arithmetic number, because the mean of its divisors is an integer number (3538078236).

Almost surely, 2^402105328800 is an apocalyptic number.

402105328800 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 402105328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764224898976).

402105328800 is an abundant number, since it is smaller than the sum of its proper divisors (1126344469152).

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

402105328800 is a wasteful number, since it uses less digits than its factorization.

402105328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13301 (or 13281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 402105328800 in words is "four hundred two billion, one hundred five million, three hundred twenty-eight thousand, eight hundred".