42007416 has 32 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 12729440.

The previous prime is 42007397. The next prime is 42007463. The reversal of 42007416 is 61470024.

42007416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79296 + ... + 79823.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^42007416 is an apocalyptic number.

It is an amenable number.

42007416 is an abundant number, since it is smaller than the sum of its proper divisors (72558984).

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

42007416 is a wasteful number, since it uses less digits than its factorization.

42007416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159139 (or 159135 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42007416 is about 6481.3128299751. The cubic root of 42007416 is about 347.6231221843.

The spelling of 42007416 in words is "forty-two million, seven thousand, four hundred sixteen".