42444433033240 has 256 divisors, whose sum is σ = 115199926272000. Its totient is φ = 13760132069376.

The previous prime is 42444433033157. The next prime is 42444433033241. The reversal of 42444433033240 is 4233033444424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42444433033193 and 42444433033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444433033241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226459086 + ... + 226646434.

It is an arithmetic number, because the mean of its divisors is an integer number (449999712000).

Almost surely, 2^{42444433033240} is an apocalyptic number.

42444433033240 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 42444433033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57599963136000).

42444433033240 is an abundant number, since it is smaller than the sum of its proper divisors (72755493238760).

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

42444433033240 is a wasteful number, since it uses less digits than its factorization.

42444433033240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187794 (or 187790 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 42444433033240 its reverse (4233033444424), we get a palindrome (46677466477664).

The spelling of 42444433033240 in words is "forty-two trillion, four hundred forty-four billion, four hundred thirty-three million, thirty-three thousand, two hundred forty".