1314442114000 has 40 divisors (see below), whose sum is σ = 3178321036488. Its totient is φ = 525776844800.

The previous prime is 1314442113931. The next prime is 1314442114019. The reversal of 1314442114000 is 4112444131.

It can be written as a sum of positive squares in 4 ways, for example, as 236667456 + 1314205446544 = 15384^2 + 1146388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328608529 + ... + 328612528.

Almost surely, 2^{1314442114000} is an apocalyptic number.

1314442114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314442114000 is an abundant number, since it is smaller than the sum of its proper divisors (1863878922488).

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

1314442114000 is an equidigital number, since it uses as much as digits as its factorization.

1314442114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657221080 (or 657221064 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1314442114000 its reverse (4112444131), we get a palindrome (1318554558131).

The spelling of 1314442114000 in words is "one trillion, three hundred fourteen billion, four hundred forty-two million, one hundred fourteen thousand".