42400314 has 64 divisors (see below), whose sum is σ = 105356160. Its totient is φ = 12528000.

The previous prime is 42400297. The next prime is 42400321. The reversal of 42400314 is 41300424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23484 + ... + 25224.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 2^42400314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42400314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52678080).

42400314 is an abundant number, since it is smaller than the sum of its proper divisors (62955846).

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

42400314 is a wasteful number, since it uses less digits than its factorization.

42400314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42400314 is about 6511.5523494786. The cubic root of 42400314 is about 348.7035410421.

Adding to 42400314 its reverse (41300424), we get a palindrome (83700738).

The spelling of 42400314 in words is "forty-two million, four hundred thousand, three hundred fourteen".