1314256020 has 192 divisors, whose sum is σ = 4627832832. Its totient is φ = 272976000.

The previous prime is 1314256003. The next prime is 1314256033. The reversal of 1314256020 is 206524131.

It is a super-2 number, since 2×1314256020² = 3454537772212480800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557845 + ... + 560195.

It is an arithmetic number, because the mean of its divisors is an integer number (24103296).

Almost surely, 2^1314256020 is an apocalyptic number.

1314256020 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 1314256020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313916416).

1314256020 is an abundant number, since it is smaller than the sum of its proper divisors (3313576812).

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

1314256020 is a wasteful number, since it uses less digits than its factorization.

1314256020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1314256020 is about 36252.6691431128. The cubic root of 1314256020 is about 1095.3678545579.

The spelling of 1314256020 in words is "one billion, three hundred fourteen million, two hundred fifty-six thousand, twenty".