9714116401920 has 1152 divisors, whose sum is σ = 41425931796480. Its totient is φ = 2107461058560.

The previous prime is 9714116401823. The next prime is 9714116401939. The reversal of 9714116401920 is 291046114179.

9714116401920 is a `hidden beast` number, since 9 + 7 + 1 + 411 + 6 + 40 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 728898297 + ... + 728911623.

It is an arithmetic number, because the mean of its divisors is an integer number (35960010240).

Almost surely, 2^{9714116401920} is an apocalyptic number.

9714116401920 is a gapful number since it is divisible by the number (90) 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 9714116401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712965898240).

9714116401920 is an abundant number, since it is smaller than the sum of its proper divisors (31711815394560).

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

9714116401920 is a wasteful number, since it uses less digits than its factorization.

9714116401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 9714116401920 in words is "nine trillion, seven hundred fourteen billion, one hundred sixteen million, four hundred one thousand, nine hundred twenty".