42241920 has 192 divisors, whose sum is σ = 156978000. Its totient is φ = 9633792.

The previous prime is 42241919. The next prime is 42241943. The reversal of 42241920 is 2914224.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 93856 + ... + 94304.

Almost surely, 2^42241920 is an apocalyptic number.

42241920 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 42241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489000).

42241920 is an abundant number, since it is smaller than the sum of its proper divisors (114736080).

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

42241920 is a wasteful number, since it uses less digits than its factorization.

42241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42241920 is about 6499.3784318195. The cubic root of 42241920 is about 348.2687842868.

The spelling of 42241920 in words is "forty-two million, two hundred forty-one thousand, nine hundred twenty".