1035140041300 has 36 divisors (see below), whose sum is σ = 2268494049276. Its totient is φ = 409956448000.

The previous prime is 1035140041289. The next prime is 1035140041337. The reversal of 1035140041300 is 31400415301.

It can be written as a sum of positive squares in 6 ways, for example, as 244466958096 + 790673083204 = 494436^2 + 889198^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51234457 + ... + 51254656.

It is an arithmetic number, because the mean of its divisors is an integer number (63013723591).

Almost surely, 2^{1035140041300} is an apocalyptic number.

1035140041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1035140041300 is an abundant number, since it is smaller than the sum of its proper divisors (1233354007976).

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

1035140041300 is a wasteful number, since it uses less digits than its factorization.

1035140041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102489228 (or 102489221 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1035140041300 its reverse (31400415301), we get a palindrome (1066540456601).

The spelling of 1035140041300 in words is "one trillion, thirty-five billion, one hundred forty million, forty-one thousand, three hundred".