42024444033040 has 360 divisors, whose sum is σ = 119087425338840. Its totient is φ = 13735212761088.

The previous prime is 42024444033031. The next prime is 42024444033053. The reversal of 42024444033040 is 4033044442024.

It can be written as a sum of positive squares in 4 ways, for example, as 1242886063104 + 40781557969936 = 1114848^2 + 6386044^2 .

It is a super-2 number, since 2×42024444033040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42024444032987 and 42024444033005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709447264 + ... + 709506496.

It is an arithmetic number, because the mean of its divisors is an integer number (330798403719).

Almost surely, 2^{42024444033040} is an apocalyptic number.

42024444033040 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 42024444033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59543712669420).

42024444033040 is an abundant number, since it is smaller than the sum of its proper divisors (77062981305800).

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

42024444033040 is a wasteful number, since it uses less digits than its factorization.

42024444033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59447 (or 59355 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 42024444033040 its reverse (4033044442024), we get a palindrome (46057488475064).

The spelling of 42024444033040 in words is "forty-two trillion, twenty-four billion, four hundred forty-four million, thirty-three thousand, forty".