1133032413040 has 120 divisors (see below), whose sum is σ = 2898219970800. Its totient is φ = 411632348160.

The previous prime is 1133032413017. The next prime is 1133032413077. The reversal of 1133032413040 is 403142303311.

It is a super-3 number, since 3×1133032413040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133032412996 and 1133032413014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10565611 + ... + 10672309.

It is an arithmetic number, because the mean of its divisors is an integer number (24151833090).

Almost surely, 2^{1133032413040} is an apocalyptic number.

1133032413040 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 1133032413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449109985400).

1133032413040 is an abundant number, since it is smaller than the sum of its proper divisors (1765187557760).

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

1133032413040 is a wasteful number, since it uses less digits than its factorization.

1133032413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107831 (or 107814 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1133032413040 its reverse (403142303311), we get a palindrome (1536174716351).

The spelling of 1133032413040 in words is "one trillion, one hundred thirty-three billion, thirty-two million, four hundred thirteen thousand, forty".