42238612416 has 896 divisors, whose sum is σ = 162221875200. Its totient is φ = 9336176640.

The previous prime is 42238612393. The next prime is 42238612421. The reversal of 42238612416 is 61421683224.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157020730 + ... + 157020998.

It is an arithmetic number, because the mean of its divisors is an integer number (181051200).

Almost surely, 2^42238612416 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 42238612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81110937600).

42238612416 is an abundant number, since it is smaller than the sum of its proper divisors (119983262784).

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

42238612416 is a wasteful number, since it uses less digits than its factorization.

42238612416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 42238612416 in words is "forty-two billion, two hundred thirty-eight million, six hundred twelve thousand, four hundred sixteen".