120641384448 has 520 divisors, whose sum is σ = 393954729168. Its totient is φ = 36564369408.

The previous prime is 120641384417. The next prime is 120641384471. The reversal of 120641384448 is 844483146021.

120641384448 is a `hidden beast` number, since 12 + 0 + 64 + 138 + 4 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357986136 + ... + 357986472.

Almost surely, 2^120641384448 is an apocalyptic number.

120641384448 is a gapful number since it is divisible by the number (18) 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 120641384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196977364584).

120641384448 is an abundant number, since it is smaller than the sum of its proper divisors (273313344720).

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

120641384448 is an equidigital number, since it uses as much as digits as its factorization.

120641384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 120641384448 in words is "one hundred twenty billion, six hundred forty-one million, three hundred eighty-four thousand, four hundred forty-eight".