13462130404800 has 5880 divisors, whose sum is σ = 69425844140160. Its totient is φ = 2534876467200.

The previous prime is 13462130404763. The next prime is 13462130404817. The reversal of 13462130404800 is 840403126431.

13462130404800 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 2 + 130 + 40 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5880).

It is a super-2 number, since 2×13462130404800² (a number of 27 digits) contains 22 as substring.

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 839 ways as a sum of consecutive naturals, for example, 585310017589 + ... + 585310017611.

Almost surely, 2^{13462130404800} is an apocalyptic number.

13462130404800 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 13462130404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712922070080).

13462130404800 is an abundant number, since it is smaller than the sum of its proper divisors (55963713735360).

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

13462130404800 is an equidigital number, since it uses as much as digits as its factorization.

13462130404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

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

The spelling of 13462130404800 in words is "thirteen trillion, four hundred sixty-two billion, one hundred thirty million, four hundred four thousand, eight hundred".