42033003120 has 120 divisors (see below), whose sum is σ = 141203056176. Its totient is φ = 11205448704.

The previous prime is 42033003119. The next prime is 42033003151. The reversal of 42033003120 is 2130033024.

42033003120 is a `hidden beast` number, since 4 + 20 + 330 + 0 + 312 + 0 = 666.

42033003120 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 (120).

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 = 42033003093 and 42033003102.

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, 3238564 + ... + 3251516.

Almost surely, 2^42033003120 is an apocalyptic number.

42033003120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42033003120 is an abundant number, since it is smaller than the sum of its proper divisors (99170053056).

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

42033003120 is a wasteful number, since it uses less digits than its factorization.

42033003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17479 (or 17470 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 42033003120 its reverse (2130033024), we get a palindrome (44163036144).

The spelling of 42033003120 in words is "forty-two billion, thirty-three million, three thousand, one hundred twenty".