42415416 has 48 divisors (see below), whose sum is σ = 116344800. Its totient is φ = 13957632.

The previous prime is 42415397. The next prime is 42415441. The reversal of 42415416 is 61451424.

42415416 is a `hidden beast` number, since 4 + 241 + 5 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42415416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1960 + ... + 9416.

It is an arithmetic number, because the mean of its divisors is an integer number (2423850).

Almost surely, 2^42415416 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 42415416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58172400).

42415416 is an abundant number, since it is smaller than the sum of its proper divisors (73929384).

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

42415416 is a wasteful number, since it uses less digits than its factorization.

42415416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7541 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42415416 is about 6512.7118775515. The cubic root of 42415416 is about 348.7449361426.

The spelling of 42415416 in words is "forty-two million, four hundred fifteen thousand, four hundred sixteen".