42014736 has 60 divisors (see below), whose sum is σ = 121649580. Its totient is φ = 13520640.

The previous prime is 42014729. The next prime is 42014737. The reversal of 42014736 is 63741024.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 18974736 = 4800^2 + 4356^2 .

It is a super-2 number, since 2×42014736² = 3530476082299392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42014737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855 + ... + 9206.

It is an arithmetic number, because the mean of its divisors is an integer number (2027493).

Almost surely, 2^42014736 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 42014736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60824790).

42014736 is an abundant number, since it is smaller than the sum of its proper divisors (79634844).

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

42014736 is a wasteful number, since it uses less digits than its factorization.

42014736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42014736 is about 6481.8775057849. The cubic root of 42014736 is about 347.6433126943.

The spelling of 42014736 in words is "forty-two million, fourteen thousand, seven hundred thirty-six".