10434112400 has 60 divisors (see below), whose sum is σ = 25236340500. Its totient is φ = 4145610240.

The previous prime is 10434112399. The next prime is 10434112421. The reversal of 10434112400 is 421143401.

It can be written as a sum of positive squares in 6 ways, for example, as 930982144 + 9503130256 = 30512^2 + 97484^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27935 + ... + 147134.

It is an arithmetic number, because the mean of its divisors is an integer number (420605675).

Almost surely, 2^10434112400 is an apocalyptic number.

10434112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434112400 is an abundant number, since it is smaller than the sum of its proper divisors (14802228100).

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

10434112400 is a wasteful number, since it uses less digits than its factorization.

10434112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175236 (or 175225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10434112400 its reverse (421143401), we get a palindrome (10855255801).

The spelling of 10434112400 in words is "ten billion, four hundred thirty-four million, one hundred twelve thousand, four hundred".