1310415420 has 96 divisors (see below), whose sum is σ = 3948872256. Its totient is φ = 323481600.

The previous prime is 1310415367. The next prime is 1310415451. The reversal of 1310415420 is 245140131.

1310415420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 51690 + ... + 72750.

It is an arithmetic number, because the mean of its divisors is an integer number (41134086).

Almost surely, 2^1310415420 is an apocalyptic number.

1310415420 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 1310415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974436128).

1310415420 is an abundant number, since it is smaller than the sum of its proper divisors (2638456836).

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

1310415420 is a wasteful number, since it uses less digits than its factorization.

1310415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21151 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1310415420 is about 36199.6604956455. The cubic root of 1310415420 is about 1094.2998296977.

Adding to 1310415420 its reverse (245140131), we get a palindrome (1555555551).

The spelling of 1310415420 in words is "one billion, three hundred ten million, four hundred fifteen thousand, four hundred twenty".