10000000000400 has 60 divisors (see below), whose sum is σ = 24026384043732. Its totient is φ = 3999769566720.

The previous prime is 10000000000391. The next prime is 10000000000411. The reversal of 10000000000400 is 400000000001.

It can be written as a sum of positive squares in 6 ways, for example, as 26429655184 + 9973570345216 = 162572^2 + 3158096^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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

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 11 ways as a sum of consecutive naturals, for example, 6317882 + ... + 7740518.

Almost surely, 2^{10000000000400} is an apocalyptic number.

10000000000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000000000400 is an abundant number, since it is smaller than the sum of its proper divisors (14026384043332).

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

10000000000400 is a wasteful number, since it uses less digits than its factorization.

10000000000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440228 (or 1440217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 10000000000400 its reverse (400000000001), we get a palindrome (10400000000401).

It can be divided in two parts, 10000000000 and 400, that multiplied together give a square (4000000000000 = 2000000²).

The spelling of 10000000000400 in words is "ten trillion, four hundred", and thus it is an aban number.