13200400413200 has 480 divisors, whose sum is σ = 43450048185600. Its totient is φ = 3797911756800.

The previous prime is 13200400413197. The next prime is 13200400413229. The reversal of 13200400413200 is 231400400231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19283192 + ... + 19956008.

It is an arithmetic number, because the mean of its divisors is an integer number (90520933720).

Almost surely, 2^{13200400413200} is an apocalyptic number.

13200400413200 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 13200400413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21725024092800).

13200400413200 is an abundant number, since it is smaller than the sum of its proper divisors (30249647772400).

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

13200400413200 is a wasteful number, since it uses less digits than its factorization.

13200400413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672880 (or 672855 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13200400413200 its reverse (231400400231), we get a palindrome (13431800813431).

The spelling of 13200400413200 in words is "thirteen trillion, two hundred billion, four hundred million, four hundred thirteen thousand, two hundred".