1151024026240 has 256 divisors, whose sum is σ = 3145878777600. Its totient is φ = 398624849920.

The previous prime is 1151024026199. The next prime is 1151024026277. The reversal of 1151024026240 is 426204201511.

It is a junction number, because it is equal to n+sod(n) for n = 1151024026199 and 1151024026208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37712106 + ... + 37742614.

It is an arithmetic number, because the mean of its divisors is an integer number (12288588975).

Almost surely, 2^{1151024026240} is an apocalyptic number.

1151024026240 is a gapful number since it is divisible by the number (10) 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 1151024026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572939388800).

1151024026240 is an abundant number, since it is smaller than the sum of its proper divisors (1994854751360).

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

1151024026240 is a wasteful number, since it uses less digits than its factorization.

1151024026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30795 (or 30783 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1151024026240 its reverse (426204201511), we get a palindrome (1577228227751).

The spelling of 1151024026240 in words is "one trillion, one hundred fifty-one billion, twenty-four million, twenty-six thousand, two hundred forty".