402127948800 has 396 divisors, whose sum is σ = 1458099716320. Its totient is φ = 105871933440.

The previous prime is 402127948799. The next prime is 402127948811. The reversal of 402127948800 is 8849721204.

402127948800 is a `hidden beast` number, since 40 + 2 + 127 + 9 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18190554 + ... + 18212646.

Almost surely, 2^402127948800 is an apocalyptic number.

402127948800 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 402127948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729049858160).

402127948800 is an abundant number, since it is smaller than the sum of its proper divisors (1055971767520).

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

402127948800 is a wasteful number, since it uses less digits than its factorization.

402127948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22208 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 402127948800 in words is "four hundred two billion, one hundred twenty-seven million, nine hundred forty-eight thousand, eight hundred".