4323975384960 has 3840 divisors, whose sum is σ = 20990009779200. Its totient is φ = 827714764800.

The previous prime is 4323975384901. The next prime is 4323975384973. The reversal of 4323975384960 is 694835793234.

4323975384960 is a `hidden beast` number, since 4 + 3 + 2 + 3 + 9 + 7 + 538 + 4 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 59232539484 + ... + 59232539556.

It is an arithmetic number, because the mean of its divisors is an integer number (5466148380).

Almost surely, 2^{4323975384960} is an apocalyptic number.

4323975384960 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 4323975384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495004889600).

4323975384960 is an abundant number, since it is smaller than the sum of its proper divisors (16666034394240).

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

4323975384960 is a wasteful number, since it uses less digits than its factorization.

4323975384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 4323975384960 in words is "four trillion, three hundred twenty-three billion, nine hundred seventy-five million, three hundred eighty-four thousand, nine hundred sixty".