819340247040 has 912 divisors, whose sum is σ = 3213971584512. Its totient is φ = 174550155264.

The previous prime is 819340247021. The next prime is 819340247041. The reversal of 819340247040 is 40742043918.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 819340246983 and 819340247001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819340247041) 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, 7954759629 + ... + 7954759731.

Almost surely, 2^819340247040 is an apocalyptic number.

819340247040 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 819340247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606985792256).

819340247040 is an abundant number, since it is smaller than the sum of its proper divisors (2394631337472).

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

819340247040 is an equidigital number, since it uses as much as digits as its factorization.

819340247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 819340247040 in words is "eight hundred nineteen billion, three hundred forty million, two hundred forty-seven thousand, forty".