42014320 has 80 divisors (see below), whose sum is σ = 104100480. Its totient is φ = 15724800.

The previous prime is 42014317. The next prime is 42014341. The reversal of 42014320 is 2341024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42014294 and 42014303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199015 + ... + 199225.

It is an arithmetic number, because the mean of its divisors is an integer number (1301256).

Almost surely, 2^42014320 is an apocalyptic number.

42014320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52050240).

42014320 is an abundant number, since it is smaller than the sum of its proper divisors (62086160).

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

42014320 is a wasteful number, since it uses less digits than its factorization.

42014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42014320 is about 6481.8454162376. The cubic root of 42014320 is about 347.6421653184.

Adding to 42014320 its reverse (2341024), we get a palindrome (44355344).

The spelling of 42014320 in words is "forty-two million, fourteen thousand, three hundred twenty".