1330142110400 has 168 divisors, whose sum is σ = 3329622758064. Its totient is φ = 522901094400.

The previous prime is 1330142110357. The next prime is 1330142110411. The reversal of 1330142110400 is 40112410331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33034280 + ... + 33074520.

Almost surely, 2^{1330142110400} is an apocalyptic number.

1330142110400 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 1330142110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664811379032).

1330142110400 is an abundant number, since it is smaller than the sum of its proper divisors (1999480647664).

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

1330142110400 is a wasteful number, since it uses less digits than its factorization.

1330142110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1330142110400 its reverse (40112410331), we get a palindrome (1370254520731).

The spelling of 1330142110400 in words is "one trillion, three hundred thirty billion, one hundred forty-two million, one hundred ten thousand, four hundred".