42040212120 has 96 divisors (see below), whose sum is σ = 136864138320. Its totient is φ = 11191568640.

The previous prime is 42040212119. The next prime is 42040212143. The reversal of 42040212120 is 2121204024.

42040212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42040212093 and 42040212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111850 + ... + 310790.

Almost surely, 2^42040212120 is an apocalyptic number.

42040212120 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 42040212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68432069160).

42040212120 is an abundant number, since it is smaller than the sum of its proper divisors (94823926200).

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

42040212120 is a wasteful number, since it uses less digits than its factorization.

42040212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199545 (or 199538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42040212120 its reverse (2121204024), we get a palindrome (44161416144).

The spelling of 42040212120 in words is "forty-two billion, forty million, two hundred twelve thousand, one hundred twenty".