10434013400 has 96 divisors (see below), whose sum is σ = 25955072400. Its totient is φ = 3889036800.

The previous prime is 10434013397. The next prime is 10434013417. The reversal of 10434013400 is 431043401.

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, 209294 + ... + 254306.

Almost surely, 2^10434013400 is an apocalyptic number.

10434013400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977536200).

10434013400 is an abundant number, since it is smaller than the sum of its proper divisors (15521059000).

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

10434013400 is a wasteful number, since it uses less digits than its factorization.

10434013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45109 (or 45100 counting only the distinct ones).

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

Adding to 10434013400 its reverse (431043401), we get a palindrome (10865056801).

The spelling of 10434013400 in words is "ten billion, four hundred thirty-four million, thirteen thousand, four hundred".