42115521120 has 48 divisors (see below), whose sum is σ = 132663893040. Its totient is φ = 11230805504.

The previous prime is 42115521103. The next prime is 42115521157. The reversal of 42115521120 is 2112551124.

It is a happy number.

42115521120 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43869855 + ... + 43870814.

It is an arithmetic number, because the mean of its divisors is an integer number (2763831105).

Almost surely, 2^42115521120 is an apocalyptic number.

42115521120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42115521120 is an abundant number, since it is smaller than the sum of its proper divisors (90548371920).

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

42115521120 is a wasteful number, since it uses less digits than its factorization.

42115521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87740687 (or 87740679 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 42115521120 in words is "forty-two billion, one hundred fifteen million, five hundred twenty-one thousand, one hundred twenty".