400000000000000 has 255 divisors, whose sum is σ = 999992370572701. Its totient is φ = 160000000000000.

The previous prime is 399999999999997. The next prime is 400000000000063. The reversal of 400000000000000 is 4.

The square root of 400000000000000 is 20000000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 382961729470464 + 17038270529536 = 19569408^2 + 4127744^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 79999999999998 + ... + 80000000000002.

Almost surely, 2^{400000000000000} is an apocalyptic number.

400000000000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

400000000000000 is the 20000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400000000000000

400000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (599992370572701).

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

400000000000000 is an frugal number, since it uses more digits than its factorization.

400000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The spelling of 400000000000000 in words is "four hundred trillion", and thus it is an aban number.