814342140 has 192 divisors, whose sum is σ = 2665958400. Its totient is φ = 205970688.

The previous prime is 814342129. The next prime is 814342153. The reversal of 814342140 is 41243418.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2148471 + ... + 2148849.

It is an arithmetic number, because the mean of its divisors is an integer number (13885200).

Almost surely, 2^814342140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332979200).

814342140 is an abundant number, since it is smaller than the sum of its proper divisors (1851616260).

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

814342140 is a wasteful number, since it uses less digits than its factorization.

814342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 814342140 is about 28536.6806058448. The cubic root of 814342140 is about 933.8324679989.

Adding to 814342140 its reverse (41243418), we get a palindrome (855585558).

The spelling of 814342140 in words is "eight hundred fourteen million, three hundred forty-two thousand, one hundred forty".