13191074400 has 432 divisors, whose sum is σ = 50270782464. Its totient is φ = 2995614720.

The previous prime is 13191074363. The next prime is 13191074419. The reversal of 13191074400 is 447019131.

It is a super-3 number, since 3×13191074400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26224549 + ... + 26225051.

It is an arithmetic number, because the mean of its divisors is an integer number (116367552).

Almost surely, 2^13191074400 is an apocalyptic number.

13191074400 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 13191074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25135391232).

13191074400 is an abundant number, since it is smaller than the sum of its proper divisors (37079708064).

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

13191074400 is a wasteful number, since it uses less digits than its factorization.

13191074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 13191074400 in words is "thirteen billion, one hundred ninety-one million, seventy-four thousand, four hundred".