13460127400 has 96 divisors (see below), whose sum is σ = 33478091640. Its totient is φ = 5014978560.

The previous prime is 13460127397. The next prime is 13460127407. The reversal of 13460127400 is 472106431.

It can be written as a sum of positive squares in 12 ways, for example, as 6265355716 + 7194771684 = 79154^2 + 84822^2 .

It is not an unprimeable number, because it can be changed into a prime (13460127407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309394 + ... + 350206.

Almost surely, 2^13460127400 is an apocalyptic number.

13460127400 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 13460127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739045820).

13460127400 is an abundant number, since it is smaller than the sum of its proper divisors (20017964240).

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

13460127400 is a wasteful number, since it uses less digits than its factorization.

13460127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40943 (or 40934 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 13460127400 in words is "thirteen billion, four hundred sixty million, one hundred twenty-seven thousand, four hundred".