1314414420 has 96 divisors (see below), whose sum is σ = 4021750656. Its totient is φ = 318105600.

The previous prime is 1314414407. The next prime is 1314414427. The reversal of 1314414420 is 244144131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314414427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500952 + ... + 503568.

It is an arithmetic number, because the mean of its divisors is an integer number (41893236).

Almost surely, 2^1314414420 is an apocalyptic number.

1314414420 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 1314414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010875328).

1314414420 is an abundant number, since it is smaller than the sum of its proper divisors (2707336236).

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

1314414420 is a wasteful number, since it uses less digits than its factorization.

1314414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1314414420 is about 36254.8537440161. The cubic root of 1314414420 is about 1095.4118589973.

Adding to 1314414420 its reverse (244144131), we get a palindrome (1558558551).

The spelling of 1314414420 in words is "one billion, three hundred fourteen million, four hundred fourteen thousand, four hundred twenty".