4059788734464 has 416 divisors, whose sum is σ = 11318709104640. Its totient is φ = 1293287424000.

The previous prime is 4059788734439. The next prime is 4059788734471. The reversal of 4059788734464 is 4644378879504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4608159304 + ... + 4608160184.

Almost surely, 2^{4059788734464} 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 4059788734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659354552320).

4059788734464 is an abundant number, since it is smaller than the sum of its proper divisors (7258920370176).

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

4059788734464 is a wasteful number, since it uses less digits than its factorization.

4059788734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 4059788734464 in words is "four trillion, fifty-nine billion, seven hundred eighty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".