13334442400 has 72 divisors (see below), whose sum is σ = 32571001260. Its totient is φ = 5330780160.

The previous prime is 13334442391. The next prime is 13334442419. The reversal of 13334442400 is 424443331.

It can be written as a sum of positive squares in 6 ways, for example, as 1459545616 + 11874896784 = 38204^2 + 108972^2 .

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, 1907712 + ... + 1914688.

Almost surely, 2^13334442400 is an apocalyptic number.

13334442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334442400 is an abundant number, since it is smaller than the sum of its proper divisors (19236558860).

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

13334442400 is a wasteful number, since it uses less digits than its factorization.

13334442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9386 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13334442400 its reverse (424443331), we get a palindrome (13758885731).

The spelling of 13334442400 in words is "thirteen billion, three hundred thirty-four million, four hundred forty-two thousand, four hundred".