841793040 has 320 divisors, whose sum is σ = 3214080000. Its totient is φ = 200793600.

The previous prime is 841793021. The next prime is 841793041. The reversal of 841793040 is 40397148.

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 = 841792986 and 841793004.

It is not an unprimeable number, because it can be changed into a prime (841793041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686711 + ... + 1687209.

It is an arithmetic number, because the mean of its divisors is an integer number (10044000).

Almost surely, 2^841793040 is an apocalyptic number.

841793040 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 841793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040000).

841793040 is an abundant number, since it is smaller than the sum of its proper divisors (2372286960).

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

841793040 is a wasteful number, since it uses less digits than its factorization.

841793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 841793040 is about 29013.6698816265. The cubic root of 841793040 is about 944.2096692658.

It can be divided in two parts, 841 and 793040, that added together give a square (793881 = 891²).

The spelling of 841793040 in words is "eight hundred forty-one million, seven hundred ninety-three thousand, forty".