4489117973760 has 1152 divisors, whose sum is σ = 17605625425920. Its totient is φ = 952124571648.

The previous prime is 4489117973749. The next prime is 4489117973773. The reversal of 4489117973760 is 673797119844.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4489117973691 and 4489117973700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5807396734 + ... + 5807397506.

It is an arithmetic number, because the mean of its divisors is an integer number (15282660960).

Almost surely, 2^{4489117973760} is an apocalyptic number.

4489117973760 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 4489117973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802812712960).

4489117973760 is an abundant number, since it is smaller than the sum of its proper divisors (13116507452160).

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

4489117973760 is a wasteful number, since it uses less digits than its factorization.

4489117973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 66.

The spelling of 4489117973760 in words is "four trillion, four hundred eighty-nine billion, one hundred seventeen million, nine hundred seventy-three thousand, seven hundred sixty".