42239791440 has 1280 divisors, whose sum is σ = 190273536000. Its totient is φ = 8534937600.

The previous prime is 42239791397. The next prime is 42239791463. The reversal of 42239791440 is 4419793224.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 578627244 + ... + 578627316.

It is an arithmetic number, because the mean of its divisors is an integer number (148651200).

Almost surely, 2^42239791440 is an apocalyptic number.

42239791440 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 42239791440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95136768000).

42239791440 is an abundant number, since it is smaller than the sum of its proper divisors (148033744560).

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

42239791440 is a wasteful number, since it uses less digits than its factorization.

42239791440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42239791440 in words is "forty-two billion, two hundred thirty-nine million, seven hundred ninety-one thousand, four hundred forty".