4398833122560 has 576 divisors, whose sum is σ = 15928177090560. Its totient is φ = 1163691712512.

The previous prime is 4398833122547. The next prime is 4398833122601. The reversal of 4398833122560 is 652213388934.

4398833122560 is a `hidden beast` number, since 4 + 3 + 9 + 88 + 331 + 225 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4398833122497 and 4398833122506.

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, 355512534 + ... + 355524906.

Almost surely, 2^{4398833122560} is an apocalyptic number.

4398833122560 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 4398833122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964088545280).

4398833122560 is an abundant number, since it is smaller than the sum of its proper divisors (11529343968000).

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

4398833122560 is an equidigital number, since it uses as much as digits as its factorization.

4398833122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12542 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4398833122560 in words is "four trillion, three hundred ninety-eight billion, eight hundred thirty-three million, one hundred twenty-two thousand, five hundred sixty".