4405864871520 has 2304 divisors, whose sum is σ = 19360373760000. Its totient is φ = 890253213696.

The previous prime is 4405864871477. The next prime is 4405864871537. The reversal of 4405864871520 is 251784685044.

4405864871520 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 8 + 6 + 48 + 71 + 520 = 666.

It is a super-2 number, since 2×4405864871520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22140024381 + ... + 22140024579.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940000).

Almost surely, 2^{4405864871520} is an apocalyptic number.

4405864871520 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 4405864871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880000).

4405864871520 is an abundant number, since it is smaller than the sum of its proper divisors (14954508888480).

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

4405864871520 is a wasteful number, since it uses less digits than its factorization.

4405864871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4405864871520 in words is "four trillion, four hundred five billion, eight hundred sixty-four million, eight hundred seventy-one thousand, five hundred twenty".