1314416020 has 24 divisors (see below), whose sum is σ = 2787607368. Its totient is φ = 520560000.

The previous prime is 1314416003. The next prime is 1314416021. The reversal of 1314416020 is 206144131.

It can be written as a sum of positive squares in 4 ways, for example, as 249829636 + 1064586384 = 15806^2 + 32628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1314415982 and 1314416000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314416021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323331 + ... + 327370.

It is an arithmetic number, because the mean of its divisors is an integer number (116150307).

Almost surely, 2^1314416020 is an apocalyptic number.

1314416020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314416020 is an abundant number, since it is smaller than the sum of its proper divisors (1473191348).

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

1314416020 is a wasteful number, since it uses less digits than its factorization.

1314416020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650811 (or 650809 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1314416020 is about 36254.8758100204. The cubic root of 1314416020 is about 1095.4123034685.

The spelling of 1314416020 in words is "one billion, three hundred fourteen million, four hundred sixteen thousand, twenty".