13412234400 has 144 divisors (see below), whose sum is σ = 44089865568. Its totient is φ = 3541120000.

The previous prime is 13412234399. The next prime is 13412234441. The reversal of 13412234400 is 443221431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 214735 + ... + 270065.

It is an arithmetic number, because the mean of its divisors is an integer number (306179622).

Almost surely, 2^13412234400 is an apocalyptic number.

13412234400 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 13412234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22044932784).

13412234400 is an abundant number, since it is smaller than the sum of its proper divisors (30677631168).

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

13412234400 is a wasteful number, since it uses less digits than its factorization.

13412234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55455 (or 55442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13412234400 its reverse (443221431), we get a palindrome (13855455831).

The spelling of 13412234400 in words is "thirteen billion, four hundred twelve million, two hundred thirty-four thousand, four hundred".