42914016 has 48 divisors (see below), whose sum is σ = 125168400. Its totient is φ = 14304384.

The previous prime is 42914009. The next prime is 42914041. The reversal of 42914016 is 61041924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×42914016² = 3683225538496512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23971 + ... + 25698.

It is an arithmetic number, because the mean of its divisors is an integer number (2607675).

Almost surely, 2^42914016 is an apocalyptic number.

It is an amenable number.

42914016 is an abundant number, since it is smaller than the sum of its proper divisors (82254384).

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

42914016 is a wasteful number, since it uses less digits than its factorization.

42914016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49688 (or 49674 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42914016 is about 6550.8790249859. The cubic root of 42914016 is about 350.1061337992.

The spelling of 42914016 in words is "forty-two million, nine hundred fourteen thousand, sixteen".