42025113120 has 96 divisors (see below), whose sum is σ = 132419992320. Its totient is φ = 11203235840.

The previous prime is 42025113061. The next prime is 42025113149. The reversal of 42025113120 is 2131152024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×42025113120³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1793641 + ... + 1816919.

It is an arithmetic number, because the mean of its divisors is an integer number (1379374920).

Almost surely, 2^42025113120 is an apocalyptic number.

42025113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42025113120 is an abundant number, since it is smaller than the sum of its proper divisors (90394879200).

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

42025113120 is a wasteful number, since it uses less digits than its factorization.

42025113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27058 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 42025113120 its reverse (2131152024), we get a palindrome (44156265144).

The spelling of 42025113120 in words is "forty-two billion, twenty-five million, one hundred thirteen thousand, one hundred twenty".