13428413539200 has 1920 divisors, whose sum is σ = 55294406244000. Its totient is φ = 3181864550400.

The previous prime is 13428413539181. The next prime is 13428413539217. The reversal of 13428413539200 is 293531482431.

It is a happy number.

13428413539200 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 84 + 13 + 539 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31012502184 + ... + 31012502616.

Almost surely, 2^{13428413539200} is an apocalyptic number.

13428413539200 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 13428413539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27647203122000).

13428413539200 is an abundant number, since it is smaller than the sum of its proper divisors (41865992704800).

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

13428413539200 is a wasteful number, since it uses less digits than its factorization.

13428413539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13428413539200 in words is "thirteen trillion, four hundred twenty-eight billion, four hundred thirteen million, five hundred thirty-nine thousand, two hundred".