42244215024000 has 2048 divisors, whose sum is σ = 159674399539200. Its totient is φ = 9874529280000.

The previous prime is 42244215023981. The next prime is 42244215024029. The reversal of 42244215024000 is 42051244224.

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

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, 303915215931 + ... + 303915216069.

It is an arithmetic number, because the mean of its divisors is an integer number (77966015400).

Almost surely, 2^{42244215024000} is an apocalyptic number.

42244215024000 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 42244215024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79837199769600).

42244215024000 is an abundant number, since it is smaller than the sum of its proper divisors (117430184515200).

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

42244215024000 is a wasteful number, since it uses less digits than its factorization.

42244215024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 42244215024000 its reverse (42051244224), we get a palindrome (42286266268224).

The spelling of 42244215024000 in words is "forty-two trillion, two hundred forty-four billion, two hundred fifteen million, twenty-four thousand".