42412320 has 72 divisors (see below), whose sum is σ = 144736956. Its totient is φ = 11309568.

The previous prime is 42412303. The next prime is 42412367. The reversal of 42412320 is 2321424.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 266256 = 6492^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 42412293 and 42412302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13287 + ... + 16166.

Almost surely, 2^42412320 is an apocalyptic number.

42412320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42412320 is an abundant number, since it is smaller than the sum of its proper divisors (102324636).

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

42412320 is a wasteful number, since it uses less digits than its factorization.

42412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29474 (or 29463 counting only the distinct ones).

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

The square root of 42412320 is about 6512.4741842099. The cubic root of 42412320 is about 348.7364507011.

Adding to 42412320 its reverse (2321424), we get a palindrome (44733744).

It can be divided in two parts, 4241 and 2320, that added together give a 8-th power (6561 = 3⁸).

The spelling of 42412320 in words is "forty-two million, four hundred twelve thousand, three hundred twenty".