1315440034000 has 160 divisors (see below), whose sum is σ = 3359999410560. Its totient is φ = 496717056000.

The previous prime is 1315440033923. The next prime is 1315440034039. The reversal of 1315440034000 is 4300445131.

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 31 ways as a sum of consecutive naturals, for example, 10692840 + ... + 10815160.

It is an arithmetic number, because the mean of its divisors is an integer number (20999996316).

Almost surely, 2^{1315440034000} is an apocalyptic number.

1315440034000 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 1315440034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679999705280).

1315440034000 is an abundant number, since it is smaller than the sum of its proper divisors (2044559376560).

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

1315440034000 is a wasteful number, since it uses less digits than its factorization.

1315440034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122646 (or 122630 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1315440034000 its reverse (4300445131), we get a palindrome (1319740479131).

The spelling of 1315440034000 in words is "one trillion, three hundred fifteen billion, four hundred forty million, thirty-four thousand".