4390882896960 has 1344 divisors, whose sum is σ = 19021312224000. Its totient is φ = 948109639680.

The previous prime is 4390882896913. The next prime is 4390882897007. The reversal of 4390882896960 is 696982880934.

It is a happy number.

4390882896960 is a `hidden beast` number, since 439 + 0 + 88 + 28 + 9 + 6 + 96 + 0 = 666.

4390882896960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4390882896913) and next prime (4390882897007).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4390882896960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4351716936 + ... + 4351717944.

Almost surely, 2^{4390882896960} is an apocalyptic number.

4390882896960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4390882896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510656112000).

4390882896960 is an abundant number, since it is smaller than the sum of its proper divisors (14630429327040).

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

4390882896960 is a wasteful number, since it uses less digits than its factorization.

4390882896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 4390882896960 in words is "four trillion, three hundred ninety billion, eight hundred eighty-two million, eight hundred ninety-six thousand, nine hundred sixty".