42251120 has 80 divisors (see below), whose sum is σ = 106386048. Its totient is φ = 15544320.

The previous prime is 42251119. The next prime is 42251149. The reversal of 42251120 is 2115224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63590 + ... + 64250.

Almost surely, 2^42251120 is an apocalyptic number.

42251120 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 42251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53193024).

42251120 is an abundant number, since it is smaller than the sum of its proper divisors (64134928).

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

42251120 is a wasteful number, since it uses less digits than its factorization.

42251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 42251120 is about 6500.0861532752. The cubic root of 42251120 is about 348.2940659678.

Adding to 42251120 its reverse (2115224), we get a palindrome (44366344).

The spelling of 42251120 in words is "forty-two million, two hundred fifty-one thousand, one hundred twenty".