844641357120 has 336 divisors, whose sum is σ = 3170772708480. Its totient is φ = 204668006400.

The previous prime is 844641357101. The next prime is 844641357139. The reversal of 844641357120 is 21753146448.

844641357120 is a `hidden beast` number, since 8 + 4 + 4 + 64 + 13 + 571 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (844641357101) and next prime (844641357139).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90631821 + ... + 90641139.

Almost surely, 2^844641357120 is an apocalyptic number.

844641357120 is a gapful number since it is divisible by the number (80) 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 844641357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585386354240).

844641357120 is an abundant number, since it is smaller than the sum of its proper divisors (2326131351360).

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

844641357120 is a wasteful number, since it uses less digits than its factorization.

844641357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12214 (or 12201 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 844641357120 in words is "eight hundred forty-four billion, six hundred forty-one million, three hundred fifty-seven thousand, one hundred twenty".