814919040 has 192 divisors, whose sum is σ = 3030758640. Its totient is φ = 200577024.

The previous prime is 814919023. The next prime is 814919047. The reversal of 814919040 is 40919418.

814919040 is a `hidden beast` number, since 81 + 491 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 814918986 and 814919004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814919047) 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 23 ways as a sum of consecutive naturals, for example, 69439 + ... + 80321.

Almost surely, 2^814919040 is an apocalyptic number.

814919040 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 814919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515379320).

814919040 is an abundant number, since it is smaller than the sum of its proper divisors (2215839600).

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

814919040 is a wasteful number, since it uses less digits than its factorization.

814919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 814919040 is about 28546.7868594698. The cubic root of 814919040 is about 934.0529325753.

The spelling of 814919040 in words is "eight hundred fourteen million, nine hundred nineteen thousand, forty".