841172640 has 288 divisors, whose sum is σ = 3330149760. Its totient is φ = 174704640.

The previous prime is 841172611. The next prime is 841172659. The reversal of 841172640 is 46271148.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 405526 + ... + 407594.

It is an arithmetic number, because the mean of its divisors is an integer number (11563020).

Almost surely, 2^841172640 is an apocalyptic number.

841172640 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 841172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665074880).

841172640 is an abundant number, since it is smaller than the sum of its proper divisors (2488977120).

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

841172640 is a wasteful number, since it uses less digits than its factorization.

841172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 841172640 is about 29002.9763989836. The cubic root of 841172640 is about 943.9776519654.

The spelling of 841172640 in words is "eight hundred forty-one million, one hundred seventy-two thousand, six hundred forty".