1330142314004 has 48 divisors (see below), whose sum is σ = 2663330326272. Its totient is φ = 569408673792.

The previous prime is 1330142314003. The next prime is 1330142314043. The reversal of 1330142314004 is 4004132410331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330142314003) 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, 186630689 + ... + 186637815.

It is an arithmetic number, because the mean of its divisors is an integer number (55486048464).

Almost surely, 2^{1330142314004} is an apocalyptic number.

1330142314004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330142314004 is an abundant number, since it is smaller than the sum of its proper divisors (1333188012268).

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

1330142314004 is a wasteful number, since it uses less digits than its factorization.

1330142314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13832 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1330142314004 its reverse (4004132410331), we get a palindrome (5334274724335).

The spelling of 1330142314004 in words is "one trillion, three hundred thirty billion, one hundred forty-two million, three hundred fourteen thousand, four".