1135032413640 has 128 divisors (see below), whose sum is σ = 3497921280000. Its totient is φ = 294428003328.

The previous prime is 1135032413609. The next prime is 1135032413743. The reversal of 1135032413640 is 463142305311.

It is a Cunningham number, because it is equal to 1065379²-1.

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, 21280926 + ... + 21334194.

It is an arithmetic number, because the mean of its divisors is an integer number (27327510000).

Almost surely, 2^{1135032413640} is an apocalyptic number.

1135032413640 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 1135032413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748960640000).

1135032413640 is an abundant number, since it is smaller than the sum of its proper divisors (2362888866360).

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

1135032413640 is a wasteful number, since it uses less digits than its factorization.

1135032413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58119 (or 58115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 1135032413640 its reverse (463142305311), we get a palindrome (1598174718951).

The spelling of 1135032413640 in words is "one trillion, one hundred thirty-five billion, thirty-two million, four hundred thirteen thousand, six hundred forty".