1133134013440 has 176 divisors, whose sum is σ = 3193404500160. Its totient is φ = 380352430080.

The previous prime is 1133134013423. The next prime is 1133134013449. The reversal of 1133134013440 is 443104313311.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 1133134013399 and 1133134013408.

It is not an unprimeable number, because it can be changed into a prime (1133134013449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41670 + ... + 1505989.

Almost surely, 2^{1133134013440} is an apocalyptic number.

1133134013440 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 1133134013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596702250080).

1133134013440 is an abundant number, since it is smaller than the sum of its proper divisors (2060270486720).

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

1133134013440 is a wasteful number, since it uses less digits than its factorization.

1133134013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547708 (or 1547690 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1133134013440 its reverse (443104313311), we get a palindrome (1576238326751).

The spelling of 1133134013440 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-four million, thirteen thousand, four hundred forty".