13414328438400 has 768 divisors, whose sum is σ = 52024638960000. Its totient is φ = 3369539174400.

The previous prime is 13414328438383. The next prime is 13414328438453. The reversal of 13414328438400 is 483482341431.

13414328438400 is a `hidden beast` number, since 1 + 34 + 143 + 2 + 8 + 438 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102664311 + ... + 102794889.

Almost surely, 2^{13414328438400} is an apocalyptic number.

13414328438400 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 13414328438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012319480000).

13414328438400 is an abundant number, since it is smaller than the sum of its proper divisors (38610310521600).

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

13414328438400 is a wasteful number, since it uses less digits than its factorization.

13414328438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130682 (or 130659 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 13414328438400 in words is "thirteen trillion, four hundred fourteen billion, three hundred twenty-eight million, four hundred thirty-eight thousand, four hundred".