424523413115120 has 320 divisors, whose sum is σ = 1182084048921600. Its totient is φ = 139961775636480.

The previous prime is 424523413115101. The next prime is 424523413115159. The reversal of 424523413115120 is 21511314325424.

It is a super-2 number, since 2×424523413115120² (a number of 30 digits) contains 22 as substring.

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, 189341267 + ... + 191570253.

It is an arithmetic number, because the mean of its divisors is an integer number (3694012652880).

Almost surely, 2^{424523413115120} is an apocalyptic number.

424523413115120 is a gapful number since it is divisible by the number (40) 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 424523413115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591042024460800).

424523413115120 is an abundant number, since it is smaller than the sum of its proper divisors (757560635806480).

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

424523413115120 is a wasteful number, since it uses less digits than its factorization.

424523413115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229496 (or 2229490 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 424523413115120 in words is "four hundred twenty-four trillion, five hundred twenty-three billion, four hundred thirteen million, one hundred fifteen thousand, one hundred twenty".