42638233488 has 80 divisors (see below), whose sum is σ = 116356481280. Its totient is φ = 13417045632.

The previous prime is 42638233487. The next prime is 42638233499. The reversal of 42638233488 is 88433283624.

It is a super-2 number, since 2×42638233488² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42638233488.

It is not an unprimeable number, because it can be changed into a prime (42638233481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175495 + ... + 340697.

It is an arithmetic number, because the mean of its divisors is an integer number (1454456016).

Almost surely, 2^42638233488 is an apocalyptic number.

42638233488 is a gapful number since it is divisible by the number (48) 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 42638233488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58178240640).

42638233488 is an abundant number, since it is smaller than the sum of its proper divisors (73718247792).

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

42638233488 is a wasteful number, since it uses less digits than its factorization.

42638233488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165516 (or 165510 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

The spelling of 42638233488 in words is "forty-two billion, six hundred thirty-eight million, two hundred thirty-three thousand, four hundred eighty-eight".