4294889387264 has 576 divisors, whose sum is σ = 11382750167040. Its totient is φ = 1572724408320.

The previous prime is 4294889387251. The next prime is 4294889387273. The reversal of 4294889387264 is 4627839884924.

It is a junction number, because it is equal to n+sod(n) for n = 4294889387191 and 4294889387200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1919931554 + ... + 1919933790.

It is an arithmetic number, because the mean of its divisors is an integer number (19761719040).

Almost surely, 2^{4294889387264} 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 4294889387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691375083520).

4294889387264 is an abundant number, since it is smaller than the sum of its proper divisors (7087860779776).

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

4294889387264 is a wasteful number, since it uses less digits than its factorization.

4294889387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2420 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 74.

The spelling of 4294889387264 in words is "four trillion, two hundred ninety-four billion, eight hundred eighty-nine million, three hundred eighty-seven thousand, two hundred sixty-four".