1310414144 has 168 divisors, whose sum is σ = 3081942528. Its totient is φ = 547937280.

The previous prime is 1310414143. The next prime is 1310414221. The reversal of 1310414144 is 4414140131.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310414141) 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 23 ways as a sum of consecutive naturals, for example, 27881129 + ... + 27881175.

It is an arithmetic number, because the mean of its divisors is an integer number (18344896).

It is a self-describing number.

Almost surely, 2^1310414144 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 1310414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540971264).

1310414144 is an abundant number, since it is smaller than the sum of its proper divisors (1771528384).

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

1310414144 is a wasteful number, since it uses less digits than its factorization.

1310414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1310414144 is about 36199.6428711666. The cubic root of 1310414144 is about 1094.2994745109.

Adding to 1310414144 its reverse (4414140131), we get a palindrome (5724554275).

The spelling of 1310414144 in words is "one billion, three hundred ten million, four hundred fourteen thousand, one hundred forty-four".