120442471776640 has 512 divisors, whose sum is σ = 325218095677440. Its totient is φ = 42320554721280.

The previous prime is 120442471776611. The next prime is 120442471776667. The reversal of 120442471776640 is 46677174244021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36821298205 + ... + 36821301475.

It is an arithmetic number, because the mean of its divisors is an integer number (635191593120).

Almost surely, 2^{120442471776640} is an apocalyptic number.

120442471776640 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 120442471776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162609047838720).

120442471776640 is an abundant number, since it is smaller than the sum of its proper divisors (204775623900800).

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

120442471776640 is a wasteful number, since it uses less digits than its factorization.

120442471776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 55.

The spelling of 120442471776640 in words is "one hundred twenty trillion, four hundred forty-two billion, four hundred seventy-one million, seven hundred seventy-six thousand, six hundred forty".