4916431716000 has 768 divisors, whose sum is σ = 19458496512000. Its totient is φ = 1060074086400.

The previous prime is 4916431715989. The next prime is 4916431716059. The reversal of 4916431716000 is 6171346194.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 381437556 + ... + 381450444.

It is an arithmetic number, because the mean of its divisors is an integer number (25336584000).

Almost surely, 2^{4916431716000} is an apocalyptic number.

4916431716000 is a gapful number since it is divisible by the number (40) 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 4916431716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729248256000).

4916431716000 is an abundant number, since it is smaller than the sum of its proper divisors (14542064796000).

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

4916431716000 is a wasteful number, since it uses less digits than its factorization.

4916431716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13182 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 4916431716000 in words is "four trillion, nine hundred sixteen billion, four hundred thirty-one million, seven hundred sixteen thousand".