4144931239680 has 3456 divisors, whose sum is σ = 19635978700800. Its totient is φ = 809321103360.

The previous prime is 4144931239667. The next prime is 4144931239693. The reversal of 4144931239680 is 869321394414.

4144931239680 is a `hidden beast` number, since 4 + 1 + 449 + 31 + 2 + 3 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4144931239667) and next prime (4144931239693).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 46572261076 + ... + 46572261164.

It is an arithmetic number, because the mean of its divisors is an integer number (5681706800).

Almost surely, 2^{4144931239680} is an apocalyptic number.

4144931239680 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 4144931239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817989350400).

4144931239680 is an abundant number, since it is smaller than the sum of its proper divisors (15491047461120).

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

4144931239680 is a wasteful number, since it uses less digits than its factorization.

4144931239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4144931239680 in words is "four trillion, one hundred forty-four billion, nine hundred thirty-one million, two hundred thirty-nine thousand, six hundred eighty".