840461164048 has 80 divisors (see below), whose sum is σ = 1799670528000. Its totient is φ = 377033754240.

The previous prime is 840461164031. The next prime is 840461164091.

840461164048 is nontrivially palindromic in base 10.

840461164048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 840461163989 and 840461164007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37015003 + ... + 37037701.

It is an arithmetic number, because the mean of its divisors is an integer number (22495881600).

Almost surely, 2^840461164048 is an apocalyptic number.

840461164048 is a gapful number since it is divisible by the number (88) 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 840461164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899835264000).

840461164048 is an abundant number, since it is smaller than the sum of its proper divisors (959209363952).

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

840461164048 is a wasteful number, since it uses less digits than its factorization.

840461164048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25460 (or 25454 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 840461164048 in words is "eight hundred forty billion, four hundred sixty-one million, one hundred sixty-four thousand, forty-eight".