42095376 has 90 divisors (see below), whose sum is σ = 122638542. Its totient is φ = 13996800.

The previous prime is 42095299. The next prime is 42095399. The reversal of 42095376 is 67359024.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 104976 = 6480^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42095376.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104776 + ... + 105176.

Almost surely, 2^42095376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42095376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61319271).

42095376 is an abundant number, since it is smaller than the sum of its proper divisors (80543166).

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

42095376 is an frugal number, since it uses more digits than its factorization.

42095376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42095376 is about 6488.0949438183. The cubic root of 42095376 is about 347.8655842357.

The spelling of 42095376 in words is "forty-two million, ninety-five thousand, three hundred seventy-six".