13103797414400 has 1440 divisors, whose sum is σ = 42568624766976. Its totient is φ = 3908653056000.

The previous prime is 13103797414381. The next prime is 13103797414403. The reversal of 13103797414400 is 441479730131.

It is a super-2 number, since 2×13103797414400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (13103797414403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42683379047 + ... + 42683379353.

Almost surely, 2^{13103797414400} is an apocalyptic number.

13103797414400 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 13103797414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284312383488).

13103797414400 is an abundant number, since it is smaller than the sum of its proper divisors (29464827352576).

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

13103797414400 is a wasteful number, since it uses less digits than its factorization.

13103797414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 13103797414400 in words is "thirteen trillion, one hundred three billion, seven hundred ninety-seven million, four hundred fourteen thousand, four hundred".