1133737306240 has 256 divisors, whose sum is σ = 3387252556800. Its totient is φ = 352522874880.

The previous prime is 1133737306189. The next prime is 1133737306307. The reversal of 1133737306240 is 426037373311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1133737306193 and 1133737306202.

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, 20620867 + ... + 20675773.

It is an arithmetic number, because the mean of its divisors is an integer number (13231455300).

Almost surely, 2^{1133737306240} is an apocalyptic number.

1133737306240 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 1133737306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693626278400).

1133737306240 is an abundant number, since it is smaller than the sum of its proper divisors (2253515250560).

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

1133737306240 is a wasteful number, since it uses less digits than its factorization.

1133737306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55363 (or 55351 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 40.

The spelling of 1133737306240 in words is "one trillion, one hundred thirty-three billion, seven hundred thirty-seven million, three hundred six thousand, two hundred forty".