42921120 has 144 divisors (see below), whose sum is σ = 148811040. Its totient is φ = 10391040.

The previous prime is 42921119. The next prime is 42921121. The reversal of 42921120 is 2112924.

It is an interprime number because it is at equal distance from previous prime (42921119) and next prime (42921121).

It is not an unprimeable number, because it can be changed into a prime (42921121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57711 + ... + 58449.

It is an arithmetic number, because the mean of its divisors is an integer number (1033410).

Almost surely, 2^42921120 is an apocalyptic number.

42921120 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 42921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74405520).

42921120 is an abundant number, since it is smaller than the sum of its proper divisors (105889920).

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

42921120 is a wasteful number, since it uses less digits than its factorization.

42921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 42921120 is about 6551.4212198576. The cubic root of 42921120 is about 350.1254516272.

The spelling of 42921120 in words is "forty-two million, nine hundred twenty-one thousand, one hundred twenty".