42360624120 has 128 divisors (see below), whose sum is σ = 130517568000. Its totient is φ = 10994572800.

The previous prime is 42360624109. The next prime is 42360624143. The reversal of 42360624120 is 2142606324.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 685461 + ... + 744699.

It is an arithmetic number, because the mean of its divisors is an integer number (1019668500).

Almost surely, 2^42360624120 is an apocalyptic number.

42360624120 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 42360624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65258784000).

42360624120 is an abundant number, since it is smaller than the sum of its proper divisors (88156943880).

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

42360624120 is a wasteful number, since it uses less digits than its factorization.

42360624120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59413 (or 59409 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 42360624120 in words is "forty-two billion, three hundred sixty million, six hundred twenty-four thousand, one hundred twenty".