42244416 has 140 divisors (see below), whose sum is σ = 130004820. Its totient is φ = 13547520.

The previous prime is 42244393. The next prime is 42244421. The reversal of 42244416 is 61444224.

It is a happy number.

42244416 is a `hidden beast` number, since 4 + 2 + 244 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25401600 + 16842816 = 5040^2 + 4104^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42244416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150196 + ... + 150476.

Almost surely, 2^42244416 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 42244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65002410).

42244416 is an abundant number, since it is smaller than the sum of its proper divisors (87760404).

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

42244416 is a wasteful number, since it uses less digits than its factorization.

42244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42244416 is about 6499.5704473450. The cubic root of 42244416 is about 348.2756436796.

The spelling of 42244416 in words is "forty-two million, two hundred forty-four thousand, four hundred sixteen".