1314011441000 has 128 divisors (see below), whose sum is σ = 3087665568000. Its totient is φ = 523407456000.

The previous prime is 1314011440979. The next prime is 1314011441027. The reversal of 1314011441000 is 1441104131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308378870 + ... + 308383130.

It is an arithmetic number, because the mean of its divisors is an integer number (24122387250).

Almost surely, 2^{1314011441000} is an apocalyptic number.

1314011441000 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 1314011441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543832784000).

1314011441000 is an abundant number, since it is smaller than the sum of its proper divisors (1773654127000).

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

1314011441000 is a wasteful number, since it uses less digits than its factorization.

1314011441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1314011441000 its reverse (1441104131), we get a palindrome (1315452545131).

The spelling of 1314011441000 in words is "one trillion, three hundred fourteen billion, eleven million, four hundred forty-one thousand".