13014409400 has 96 divisors (see below), whose sum is σ = 30585921840. Its totient is φ = 5149762560.

The previous prime is 13014409399. The next prime is 13014409409. The reversal of 13014409400 is 490441031.

It is a self number, because there is not a number n which added to its sum of digits gives 13014409400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014409409) 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, 7853372 + ... + 7855028.

Almost surely, 2^13014409400 is an apocalyptic number.

13014409400 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 13014409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292960920).

13014409400 is an abundant number, since it is smaller than the sum of its proper divisors (17571512440).

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

13014409400 is a wasteful number, since it uses less digits than its factorization.

13014409400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 13014409400 in words is "thirteen billion, fourteen million, four hundred nine thousand, four hundred".