4481268291584 has 1152 divisors, whose sum is σ = 12327538728960. Its totient is φ = 1588278067200.

The previous prime is 4481268291571. The next prime is 4481268291613. The reversal of 4481268291584 is 4851928621844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 109299226604 + ... + 109299226644.

It is an arithmetic number, because the mean of its divisors is an integer number (10700988480).

Almost surely, 2^{4481268291584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4481268291584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163769364480).

4481268291584 is an abundant number, since it is smaller than the sum of its proper divisors (7846270437376).

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

4481268291584 is a wasteful number, since it uses less digits than its factorization.

4481268291584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 62.

The spelling of 4481268291584 in words is "four trillion, four hundred eighty-one billion, two hundred sixty-eight million, two hundred ninety-one thousand, five hundred eighty-four".