4399377421824 has 1600 divisors, whose sum is σ = 17796232396800. Its totient is φ = 1047184588800.

The previous prime is 4399377421823. The next prime is 4399377421841. The reversal of 4399377421824 is 4281247739934.

4399377421824 is a `hidden beast` number, since 4 + 39 + 93 + 77 + 421 + 8 + 24 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4399377421823) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1880878447 + ... + 1880880785.

It is an arithmetic number, because the mean of its divisors is an integer number (11122645248).

Almost surely, 2^{4399377421824} is an apocalyptic number.

4399377421824 is a gapful number since it is divisible by the number (44) 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 4399377421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898116198400).

4399377421824 is an abundant number, since it is smaller than the sum of its proper divisors (13396854974976).

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

4399377421824 is a wasteful number, since it uses less digits than its factorization.

4399377421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2412 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 4399377421824 in words is "four trillion, three hundred ninety-nine billion, three hundred seventy-seven million, four hundred twenty-one thousand, eight hundred twenty-four".