1330113040040 has 64 divisors (see below), whose sum is σ = 3023722463760. Its totient is φ = 526544435200.

The previous prime is 1330113039961. The next prime is 1330113040079. The reversal of 1330113040040 is 400403110331.

It can be written as a sum of positive squares in 8 ways, for example, as 473203658404 + 856909381636 = 687898^2 + 925694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1330113039994 and 1330113040021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9208214 + ... + 9351546.

Almost surely, 2^{1330113040040} is an apocalyptic number.

1330113040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330113040040 is an abundant number, since it is smaller than the sum of its proper divisors (1693609423720).

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

1330113040040 is a wasteful number, since it uses less digits than its factorization.

1330113040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145742 (or 145738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1330113040040 its reverse (400403110331), we get a palindrome (1730516150371).

The spelling of 1330113040040 in words is "one trillion, three hundred thirty billion, one hundred thirteen million, forty thousand, forty".