1314234827640 has 384 divisors, whose sum is σ = 5177197209600. Its totient is φ = 282624629760.

The previous prime is 1314234827639. The next prime is 1314234827671. The reversal of 1314234827640 is 467284324131.

1314234827640 is a `hidden beast` number, since 1 + 31 + 4 + 2 + 348 + 276 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3349701 + ... + 3721419.

It is an arithmetic number, because the mean of its divisors is an integer number (13482284400).

Almost surely, 2^{1314234827640} is an apocalyptic number.

1314234827640 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 1314234827640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588598604800).

1314234827640 is an abundant number, since it is smaller than the sum of its proper divisors (3862962381960).

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

1314234827640 is a wasteful number, since it uses less digits than its factorization.

1314234827640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371827 (or 371820 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1314234827640 in words is "one trillion, three hundred fourteen billion, two hundred thirty-four million, eight hundred twenty-seven thousand, six hundred forty".