402127770000 has 600 divisors, whose sum is σ = 1457838442368. Its totient is φ = 95370880000.

The previous prime is 402127769999. The next prime is 402127770013. The reversal of 402127770000 is 77721204.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 402127770000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170608822 + ... + 170611178.

Almost surely, 2^402127770000 is an apocalyptic number.

402127770000 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 402127770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728919221184).

402127770000 is an abundant number, since it is smaller than the sum of its proper divisors (1055710672368).

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

402127770000 is a wasteful number, since it uses less digits than its factorization.

402127770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The spelling of 402127770000 in words is "four hundred two billion, one hundred twenty-seven million, seven hundred seventy thousand".