120189853440 has 864 divisors, whose sum is σ = 458016249600. Its totient is φ = 28992798720.

The previous prime is 120189853411. The next prime is 120189853447. The reversal of 120189853440 is 44358981021.

120189853440 is a `hidden beast` number, since 1 + 20 + 1 + 8 + 98 + 534 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120189853447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529470607 + ... + 529470833.

It is an arithmetic number, because the mean of its divisors is an integer number (530111400).

Almost surely, 2^120189853440 is an apocalyptic number.

120189853440 is a gapful number since it is divisible by the number (10) 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 120189853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229008124800).

120189853440 is an abundant number, since it is smaller than the sum of its proper divisors (337826396160).

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

120189853440 is a wasteful number, since it uses less digits than its factorization.

120189853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 120189853440 in words is "one hundred twenty billion, one hundred eighty-nine million, eight hundred fifty-three thousand, four hundred forty".