42733748443848 has 512 divisors, whose sum is σ = 139493228544000. Its totient is φ = 10578501964800.

The previous prime is 42733748443847. The next prime is 42733748443909. The reversal of 42733748443848 is 84834484733724.

It is a Harshad number since it is a multiple of its sum of digits (69).

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

It is not an unprimeable number, because it can be changed into a prime (42733748443847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25152293703 + ... + 25152295401.

It is an arithmetic number, because the mean of its divisors is an integer number (272447712000).

Almost surely, 2^{42733748443848} 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 42733748443848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746614272000).

42733748443848 is an abundant number, since it is smaller than the sum of its proper divisors (96759480100152).

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

42733748443848 is a wasteful number, since it uses less digits than its factorization.

42733748443848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3549 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 69.

The spelling of 42733748443848 in words is "forty-two trillion, seven hundred thirty-three billion, seven hundred forty-eight million, four hundred forty-three thousand, eight hundred forty-eight".