4488949516590 has 192 divisors, whose sum is σ = 14627380764672. Its totient is φ = 927884851200.

The previous prime is 4488949516577. The next prime is 4488949516603. The reversal of 4488949516590 is 956159498844.

4488949516590 is a `hidden beast` number, since 4 + 4 + 8 + 89 + 495 + 1 + 6 + 59 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4488949516577) and next prime (4488949516603).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372067 + ... + 3019326.

It is an arithmetic number, because the mean of its divisors is an integer number (76184274816).

Almost surely, 2^{4488949516590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4488949516590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313690382336).

4488949516590 is an abundant number, since it is smaller than the sum of its proper divisors (10138431248082).

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

4488949516590 is a wasteful number, since it uses less digits than its factorization.

4488949516590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391615 (or 3391612 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 4488949516590 in words is "four trillion, four hundred eighty-eight billion, nine hundred forty-nine million, five hundred sixteen thousand, five hundred ninety".