1330033002144 has 144 divisors (see below), whose sum is σ = 4430564653536. Its totient is φ = 345463104000.

The previous prime is 1330033002119. The next prime is 1330033002187. The reversal of 1330033002144 is 4412003300331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12800307 + ... + 12903794.

It is an arithmetic number, because the mean of its divisors is an integer number (30767810094).

Almost surely, 2^{1330033002144} is an apocalyptic number.

1330033002144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330033002144 is an abundant number, since it is smaller than the sum of its proper divisors (3100531651392).

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

1330033002144 is a wasteful number, since it uses less digits than its factorization.

1330033002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25704139 (or 25704124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1330033002144 its reverse (4412003300331), we get a palindrome (5742036302475).

The spelling of 1330033002144 in words is "one trillion, three hundred thirty billion, thirty-three million, two thousand, one hundred forty-four".