1024444153242 has 160 divisors (see below), whose sum is σ = 2372082817104. Its totient is φ = 330249830400.

The previous prime is 1024444153241. The next prime is 1024444153273. The reversal of 1024444153242 is 2423514444201.

1024444153242 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 44 + 41 + 532 + 42 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80377353081 + 944066800161 = 283509^2 + 971631^2 .

It is a super-2 number, since 2×1024444153242² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024444153197 and 1024444153206.

It is not an unprimeable number, because it can be changed into a prime (1024444153241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 406362942 + ... + 406365462.

Almost surely, 2^{1024444153242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024444153242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186041408552).

1024444153242 is an abundant number, since it is smaller than the sum of its proper divisors (1347638663862).

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

1024444153242 is a wasteful number, since it uses less digits than its factorization.

1024444153242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1024444153242 its reverse (2423514444201), we get a palindrome (3447958597443).

The spelling of 1024444153242 in words is "one trillion, twenty-four billion, four hundred forty-four million, one hundred fifty-three thousand, two hundred forty-two".