42981120 has 432 divisors, whose sum is σ = 187492032. Its totient is φ = 8847360.

The previous prime is 42981091. The next prime is 42981139. The reversal of 42981120 is 2118924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048300 + ... + 1048340.

Almost surely, 2^42981120 is an apocalyptic number.

42981120 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 42981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

42981120 is an abundant number, since it is smaller than the sum of its proper divisors (144510912).

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

42981120 is a wasteful number, since it uses less digits than its factorization.

42981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42981120 is about 6555.9987797436. The cubic root of 42981120 is about 350.2885239934.

The spelling of 42981120 in words is "forty-two million, nine hundred eighty-one thousand, one hundred twenty".