400092901000 has 64 divisors (see below), whose sum is σ = 1008234143280. Its totient is φ = 147726604800.

The previous prime is 400092900997. The next prime is 400092901001. The reversal of 400092901000 is 109290004.

It can be written as a sum of positive squares in 8 ways, for example, as 15675540804 + 384417360196 = 125202^2 + 620014^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (400092901001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15375189 + ... + 15401188.

Almost surely, 2^400092901000 is an apocalyptic number.

400092901000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400092901000 is an abundant number, since it is smaller than the sum of its proper divisors (608141242280).

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

400092901000 is a wasteful number, since it uses less digits than its factorization.

400092901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30776411 (or 30776397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 400092901000 in words is "four hundred billion, ninety-two million, nine hundred one thousand".