13140224429400 has 864 divisors, whose sum is σ = 48696585600000. Its totient is φ = 3171338956800.

The previous prime is 13140224429389. The next prime is 13140224429419. The reversal of 13140224429400 is 492442204131.

13140224429400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 2 + 244 + 2 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2628568101 + ... + 2628573099.

Almost surely, 2^{13140224429400} is an apocalyptic number.

13140224429400 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 13140224429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348292800000).

13140224429400 is an abundant number, since it is smaller than the sum of its proper divisors (35556361170600).

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

13140224429400 is a wasteful number, since it uses less digits than its factorization.

13140224429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13140224429400 in words is "thirteen trillion, one hundred forty billion, two hundred twenty-four million, four hundred twenty-nine thousand, four hundred".