100014433000400 has 120 divisors (see below), whose sum is σ = 254425318665984. Its totient is φ = 37651567360000.

The previous prime is 100014433000367. The next prime is 100014433000421. The reversal of 100014433000400 is 4000334410001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317749499 + ... + 318064101.

Almost surely, 2^{100014433000400} is an apocalyptic number.

100014433000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100014433000400 is an abundant number, since it is smaller than the sum of its proper divisors (154410885665584).

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

100014433000400 is a wasteful number, since it uses less digits than its factorization.

100014433000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361389 (or 361378 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 100014433000400 its reverse (4000334410001), we get a palindrome (104014767410401).

The spelling of 100014433000400 in words is "one hundred trillion, fourteen billion, four hundred thirty-three million, four hundred", and thus it is an aban number.