42614603120 has 80 divisors (see below), whose sum is σ = 105208891200. Its totient is φ = 15996997632.

The previous prime is 42614603077. The next prime is 42614603123. The reversal of 42614603120 is 2130641624.

42614603120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42614603120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614603123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429749 + ... + 519531.

It is an arithmetic number, because the mean of its divisors is an integer number (1315111140).

Almost surely, 2^42614603120 is an apocalyptic number.

42614603120 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 42614603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52604445600).

42614603120 is an abundant number, since it is smaller than the sum of its proper divisors (62594288080).

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

42614603120 is a wasteful number, since it uses less digits than its factorization.

42614603120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90162 (or 90156 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 42614603120 in words is "forty-two billion, six hundred fourteen million, six hundred three thousand, one hundred twenty".