42441631140 has 192 divisors, whose sum is σ = 126891878400. Its totient is φ = 10568549376.

The previous prime is 42441631139. The next prime is 42441631151. The reversal of 42441631140 is 4113614424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42441631098 and 42441631107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57121609 + ... + 57122351.

It is an arithmetic number, because the mean of its divisors is an integer number (660895200).

Almost surely, 2^42441631140 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 42441631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63445939200).

42441631140 is an abundant number, since it is smaller than the sum of its proper divisors (84450247260).

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

42441631140 is a wasteful number, since it uses less digits than its factorization.

42441631140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42441631140 in words is "forty-two billion, four hundred forty-one million, six hundred thirty-one thousand, one hundred forty".