120279613440 has 480 divisors, whose sum is σ = 443911587840. Its totient is φ = 27240431616.

The previous prime is 120279613403. The next prime is 120279613481. The reversal of 120279613440 is 44316972021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239124229 + ... + 239124731.

It is an arithmetic number, because the mean of its divisors is an integer number (924815808).

Almost surely, 2^120279613440 is an apocalyptic number.

120279613440 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 120279613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221955793920).

120279613440 is an abundant number, since it is smaller than the sum of its proper divisors (323631974400).

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

120279613440 is an equidigital number, since it uses as much as digits as its factorization.

120279613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 120279613440 in words is "one hundred twenty billion, two hundred seventy-nine million, six hundred thirteen thousand, four hundred forty".