4361982964416 has 1120 divisors, whose sum is σ = 16410480768000. Its totient is φ = 1112816517120.

The previous prime is 4361982964369. The next prime is 4361982964429. The reversal of 4361982964416 is 6144692891634.

It is a happy number.

4361982964416 is a `hidden beast` number, since 4 + 3 + 6 + 198 + 29 + 6 + 4 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7069664140 + ... + 7069664756.

Almost surely, 2^{4361982964416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4361982964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205240384000).

4361982964416 is an abundant number, since it is smaller than the sum of its proper divisors (12048497803584).

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

4361982964416 is a wasteful number, since it uses less digits than its factorization.

4361982964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 4361982964416 in words is "four trillion, three hundred sixty-one billion, nine hundred eighty-two million, nine hundred sixty-four thousand, four hundred sixteen".