1314195840 has 320 divisors, whose sum is σ = 4758581520. Its totient is φ = 345600000.

The previous prime is 1314195823. The next prime is 1314195847. The reversal of 1314195840 is 485914131.

1314195840 is a `hidden beast` number, since 1 + 31 + 41 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1314195840² = 3454221411746611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1314195795 and 1314195804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314195847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5235715 + ... + 5235965.

Almost surely, 2^1314195840 is an apocalyptic number.

1314195840 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 1314195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379290760).

1314195840 is an abundant number, since it is smaller than the sum of its proper divisors (3444385680).

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

1314195840 is a wasteful number, since it uses less digits than its factorization.

1314195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1314195840 is about 36251.8391257602. The cubic root of 1314195840 is about 1095.3511352778.

The spelling of 1314195840 in words is "one billion, three hundred fourteen million, one hundred ninety-five thousand, eight hundred forty".