42360241440 has 576 divisors, whose sum is σ = 151668211968. Its totient is φ = 9926737920.

The previous prime is 42360241439. The next prime is 42360241457. The reversal of 42360241440 is 4414206324.

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 = 42360241398 and 42360241407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411264429 + ... + 411264531.

It is an arithmetic number, because the mean of its divisors is an integer number (263312868).

Almost surely, 2^42360241440 is an apocalyptic number.

42360241440 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 42360241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75834105984).

42360241440 is an abundant number, since it is smaller than the sum of its proper divisors (109307970528).

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

42360241440 is a wasteful number, since it uses less digits than its factorization.

42360241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42360241440 its reverse (4414206324), we get a palindrome (46774447764).

The spelling of 42360241440 in words is "forty-two billion, three hundred sixty million, two hundred forty-one thousand, four hundred forty".