42013462320 has 400 divisors, whose sum is σ = 151915500000. Its totient is φ = 10748215296.

The previous prime is 42013462289. The next prime is 42013462327. The reversal of 42013462320 is 2326431024.

42013462320 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 34 + 623 + 2 + 0 = 666.

It is a super-2 number, since 2×42013462320² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42013462327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33637056 + ... + 33638304.

It is an arithmetic number, because the mean of its divisors is an integer number (379788750).

Almost surely, 2^42013462320 is an apocalyptic number.

42013462320 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 42013462320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75957750000).

42013462320 is an abundant number, since it is smaller than the sum of its proper divisors (109902037680).

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

42013462320 is a wasteful number, since it uses less digits than its factorization.

42013462320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42013462320 its reverse (2326431024), we get a palindrome (44339893344).

The spelling of 42013462320 in words is "forty-two billion, thirteen million, four hundred sixty-two thousand, three hundred twenty".