13376334400 has 672 divisors, whose sum is σ = 43335976320. Its totient is φ = 3981312000.

The previous prime is 13376334371. The next prime is 13376334407. The reversal of 13376334400 is 443367331.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13376334407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73902310 + ... + 73902490.

It is an arithmetic number, because the mean of its divisors is an integer number (64488060).

Almost surely, 2^13376334400 is an apocalyptic number.

13376334400 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 13376334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21667988160).

13376334400 is an abundant number, since it is smaller than the sum of its proper divisors (29959641920).

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

13376334400 is a wasteful number, since it uses less digits than its factorization.

13376334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

It can be divided in two parts, 13376 and 334400, that multiplied together give a square (4472934400 = 66880²).

The spelling of 13376334400 in words is "thirteen billion, three hundred seventy-six million, three hundred thirty-four thousand, four hundred".