814288140 has 144 divisors (see below), whose sum is σ = 2583060480. Its totient is φ = 215317440.

The previous prime is 814288121. The next prime is 814288147. The reversal of 814288140 is 41882418.

It is a happy number.

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 = 814288095 and 814288104.

It is not an unprimeable number, because it can be changed into a prime (814288147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636021 + ... + 637299.

It is an arithmetic number, because the mean of its divisors is an integer number (17937920).

Almost surely, 2^814288140 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 814288140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291530240).

814288140 is an abundant number, since it is smaller than the sum of its proper divisors (1768772340).

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

814288140 is a wasteful number, since it uses less digits than its factorization.

814288140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 814288140 is about 28535.7344394708. The cubic root of 814288140 is about 933.8118263606.

The spelling of 814288140 in words is "eight hundred fourteen million, two hundred eighty-eight thousand, one hundred forty".