13416438712320 has 1728 divisors, whose sum is σ = 57246653318400. Its totient is φ = 2889476997120.

The previous prime is 13416438712309. The next prime is 13416438712331. The reversal of 13416438712320 is 2321783461431.

It is a happy number.

13416438712320 is a `hidden beast` number, since 1 + 34 + 1 + 6 + 4 + 387 + 1 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13416438712309) and next prime (13416438712331).

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 143 ways as a sum of consecutive naturals, for example, 23252059872 + ... + 23252060448.

It is an arithmetic number, because the mean of its divisors is an integer number (33128850300).

Almost surely, 2^{13416438712320} is an apocalyptic number.

13416438712320 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 13416438712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28623326659200).

13416438712320 is an abundant number, since it is smaller than the sum of its proper divisors (43830214606080).

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

13416438712320 is a wasteful number, since it uses less digits than its factorization.

13416438712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13416438712320 in words is "thirteen trillion, four hundred sixteen billion, four hundred thirty-eight million, seven hundred twelve thousand, three hundred twenty".