1035312252240 has 320 divisors, whose sum is σ = 3885100623360. Its totient is φ = 222643814400.

The previous prime is 1035312252229. The next prime is 1035312252283. The reversal of 1035312252240 is 422522135301.

It is a super-2 number, since 2×1035312252240² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1035312252198 and 1035312252207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119976246 + ... + 119984874.

It is an arithmetic number, because the mean of its divisors is an integer number (12140939448).

Almost surely, 2^{1035312252240} is an apocalyptic number.

1035312252240 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 1035312252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942550311680).

1035312252240 is an abundant number, since it is smaller than the sum of its proper divisors (2849788371120).

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

1035312252240 is a wasteful number, since it uses less digits than its factorization.

1035312252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12870 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1035312252240 its reverse (422522135301), we get a palindrome (1457834387541).

The spelling of 1035312252240 in words is "one trillion, thirty-five billion, three hundred twelve million, two hundred fifty-two thousand, two hundred forty".