1314128000 has 128 divisors (see below), whose sum is σ = 3410259840. Its totient is φ = 502656000.

The previous prime is 1314127981. The next prime is 1314128021. The reversal of 1314128000 is 8214131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366215 + ... + 369785.

It is an arithmetic number, because the mean of its divisors is an integer number (26642655).

Almost surely, 2^1314128000 is an apocalyptic number.

1314128000 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 1314128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705129920).

1314128000 is an abundant number, since it is smaller than the sum of its proper divisors (2096131840).

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

1314128000 is an equidigital number, since it uses as much as digits as its factorization.

1314128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1314128000 is about 36250.9034370180. The cubic root of 1314128000 is about 1095.3322872752.

The spelling of 1314128000 in words is "one billion, three hundred fourteen million, one hundred twenty-eight thousand".