840448128 has 128 divisors (see below), whose sum is σ = 2530987200. Its totient is φ = 244961280.

The previous prime is 840448127. The next prime is 840448151. The reversal of 840448128 is 821844048.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (840448121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90418 + ... + 99278.

Almost surely, 2^840448128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265493600).

840448128 is an abundant number, since it is smaller than the sum of its proper divisors (1690539072).

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

840448128 is a wasteful number, since it uses less digits than its factorization.

840448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 840448128 is about 28990.4834040414. The cubic root of 840448128 is about 943.7065543908.

The spelling of 840448128 in words is "eight hundred forty million, four hundred forty-eight thousand, one hundred twenty-eight".