1314433190144 has 72 divisors (see below), whose sum is σ = 2641450244160. Its totient is φ = 652787251200.

The previous prime is 1314433190143. The next prime is 1314433190183. The reversal of 1314433190144 is 4410913344131.

It is a happy number.

It is a super-2 number, since 2×1314433190144² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314433190098 and 1314433190107.

It is not an unprimeable number, because it can be changed into a prime (1314433190143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38858999 + ... + 38892809.

Almost surely, 2^{1314433190144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314433190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320725122080).

1314433190144 is an abundant number, since it is smaller than the sum of its proper divisors (1327017054016).

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

1314433190144 is an equidigital number, since it uses as much as digits as its factorization.

1314433190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34847 (or 34833 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 1314433190144 in words is "one trillion, three hundred fourteen billion, four hundred thirty-three million, one hundred ninety thousand, one hundred forty-four".