13334403230400 has 336 divisors, whose sum is σ = 50039443857920. Its totient is φ = 3045316608000.

The previous prime is 13334403230329. The next prime is 13334403230431. The reversal of 13334403230400 is 403230443331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40188381 + ... + 40518819.

Almost surely, 2^{13334403230400} is an apocalyptic number.

13334403230400 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 13334403230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25019721928960).

13334403230400 is an abundant number, since it is smaller than the sum of its proper divisors (36705040627520).

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

13334403230400 is a wasteful number, since it uses less digits than its factorization.

13334403230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331672 (or 331657 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13334403230400 its reverse (403230443331), we get a palindrome (13737633673731).

The spelling of 13334403230400 in words is "thirteen trillion, three hundred thirty-four billion, four hundred three million, two hundred thirty thousand, four hundred".