400940458000 has 40 divisors (see below), whose sum is σ = 969474032280. Its totient is φ = 160376182400.

The previous prime is 400940457989. The next prime is 400940458031. The reversal of 400940458000 is 854049004.

It can be written as a sum of positive squares in 4 ways, for example, as 57746012416 + 343194445584 = 240304^2 + 585828^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×400940458000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100233115 + ... + 100237114.

It is an arithmetic number, because the mean of its divisors is an integer number (24236850807).

Almost surely, 2^400940458000 is an apocalyptic number.

400940458000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400940458000 is an abundant number, since it is smaller than the sum of its proper divisors (568533574280).

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

400940458000 is a wasteful number, since it uses less digits than its factorization.

400940458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200470252 (or 200470236 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 400940458000 in words is "four hundred billion, nine hundred forty million, four hundred fifty-eight thousand".