13352391998400 has 1344 divisors, whose sum is σ = 56869641221120. Its totient is φ = 2663497728000.

The previous prime is 13352391998369. The next prime is 13352391998417. The reversal of 13352391998400 is 489919325331.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4987817862 + ... + 4987820538.

Almost surely, 2^{13352391998400} is an apocalyptic number.

13352391998400 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 13352391998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28434820610560).

13352391998400 is an abundant number, since it is smaller than the sum of its proper divisors (43517249222720).

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

13352391998400 is a wasteful number, since it uses less digits than its factorization.

13352391998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 13352391998400 in words is "thirteen trillion, three hundred fifty-two billion, three hundred ninety-one million, nine hundred ninety-eight thousand, four hundred".