13030137446400 has 2160 divisors, whose sum is σ = 51681173526528. Its totient is φ = 3248750592000.

The previous prime is 13030137446387. The next prime is 13030137446401. The reversal of 13030137446400 is 464473103031.

13030137446400 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 1 + 3 + 7 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (13030137446401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126506188749 + ... + 126506188851.

Almost surely, 2^{13030137446400} is an apocalyptic number.

13030137446400 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 13030137446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25840586763264).

13030137446400 is an abundant number, since it is smaller than the sum of its proper divisors (38651036080128).

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

13030137446400 is an equidigital number, since it uses as much as digits as its factorization.

13030137446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13030137446400 in words is "thirteen trillion, thirty billion, one hundred thirty-seven million, four hundred forty-six thousand, four hundred".