42370944 has 128 divisors (see below), whose sum is σ = 140417280. Its totient is φ = 10997760.

The previous prime is 42370927. The next prime is 42370967. The reversal of 42370944 is 44907324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42370944² = 3590593790902272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28852 + ... + 30284.

It is an arithmetic number, because the mean of its divisors is an integer number (1097010).

Almost surely, 2^42370944 is an apocalyptic number.

42370944 is a gapful number since it is divisible by the number (44) 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 42370944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70208640).

42370944 is an abundant number, since it is smaller than the sum of its proper divisors (98046336).

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

42370944 is a wasteful number, since it uses less digits than its factorization.

42370944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 42370944 is about 6509.2967362074. The cubic root of 42370944 is about 348.6230087093.

The spelling of 42370944 in words is "forty-two million, three hundred seventy thousand, nine hundred forty-four".