814271040 has 168 divisors, whose sum is σ = 3055485888. Its totient is φ = 197391360.

The previous prime is 814271039. The next prime is 814271063. The reversal of 814271040 is 40172418.

It is a junction number, because it is equal to n+sod(n) for n = 814270995 and 814271013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18829 + ... + 44531.

It is an arithmetic number, because the mean of its divisors is an integer number (18187416).

Almost surely, 2^814271040 is an apocalyptic number.

814271040 is a gapful number since it is divisible by the number (80) 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 814271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527742944).

814271040 is an abundant number, since it is smaller than the sum of its proper divisors (2241214848).

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

814271040 is a wasteful number, since it uses less digits than its factorization.

814271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25737 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 814271040 is about 28535.4348135787. The cubic root of 814271040 is about 933.8052896515.

The spelling of 814271040 in words is "eight hundred fourteen million, two hundred seventy-one thousand, forty".