4490938345824 has 864 divisors, whose sum is σ = 16644543552000. Its totient is φ = 1138107801600.

The previous prime is 4490938345801. The next prime is 4490938345837. The reversal of 4490938345824 is 4285438390944.

4490938345824 is a `hidden beast` number, since 4 + 4 + 90 + 93 + 8 + 3 + 458 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 907074549 + ... + 907079499.

It is an arithmetic number, because the mean of its divisors is an integer number (19264518000).

Almost surely, 2^{4490938345824} 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 4490938345824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322271776000).

4490938345824 is an abundant number, since it is smaller than the sum of its proper divisors (12153605206176).

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

4490938345824 is a wasteful number, since it uses less digits than its factorization.

4490938345824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4490938345824 in words is "four trillion, four hundred ninety billion, nine hundred thirty-eight million, three hundred forty-five thousand, eight hundred twenty-four".