120413407488 has 216 divisors, whose sum is σ = 355406255904. Its totient is φ = 36162846720.

The previous prime is 120413407483. The next prime is 120413407511. The reversal of 120413407488 is 884704314021.

It is a super-2 number, since 2×120413407488² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120413407483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10495131 + ... + 10506597.

Almost surely, 2^120413407488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120413407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177703127952).

120413407488 is an abundant number, since it is smaller than the sum of its proper divisors (234992848416).

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

120413407488 is a wasteful number, since it uses less digits than its factorization.

120413407488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11621 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 120413407488 in words is "one hundred twenty billion, four hundred thirteen million, four hundred seven thousand, four hundred eighty-eight".