120045493440 has 336 divisors, whose sum is σ = 431853417216. Its totient is φ = 30549657600.

The previous prime is 120045493429. The next prime is 120045493453. The reversal of 120045493440 is 44394540021.

120045493440 is a `hidden beast` number, since 1 + 200 + 4 + 5 + 4 + 9 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120045493395 and 120045493404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32521995 + ... + 32525685.

Almost surely, 2^120045493440 is an apocalyptic number.

120045493440 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 120045493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215926708608).

120045493440 is an abundant number, since it is smaller than the sum of its proper divisors (311807923776).

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

120045493440 is a wasteful number, since it uses less digits than its factorization.

120045493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 120045493440 in words is "one hundred twenty billion, forty-five million, four hundred ninety-three thousand, four hundred forty".