120440767440 has 640 divisors, whose sum is σ = 469638512640. Its totient is φ = 24918534144.

The previous prime is 120440767309. The next prime is 120440767591. The reversal of 120440767440 is 44767044021.

It is a happy number.

It is a super-3 number, since 3×120440767440³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64509387 + ... + 64511253.

It is an arithmetic number, because the mean of its divisors is an integer number (733810176).

Almost surely, 2^120440767440 is an apocalyptic number.

120440767440 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 120440767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234819256320).

120440767440 is an abundant number, since it is smaller than the sum of its proper divisors (349197745200).

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

120440767440 is a wasteful number, since it uses less digits than its factorization.

120440767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 120440767440 in words is "one hundred twenty billion, four hundred forty million, seven hundred sixty-seven thousand, four hundred forty".