13407270400 has 120 divisors (see below), whose sum is σ = 34662562704. Its totient is φ = 5129625600.

The previous prime is 13407270391. The next prime is 13407270407. The reversal of 13407270400 is 407270431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407270407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271630 + ... + 317170.

Almost surely, 2^13407270400 is an apocalyptic number.

13407270400 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 13407270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17331281352).

13407270400 is an abundant number, since it is smaller than the sum of its proper divisors (21255292304).

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

13407270400 is an equidigital number, since it uses as much as digits as its factorization.

13407270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45592 (or 45571 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 13407270400 in words is "thirteen billion, four hundred seven million, two hundred seventy thousand, four hundred".