840474474048 has 448 divisors, whose sum is σ = 2946117795840. Its totient is φ = 231972249600.

The previous prime is 840474474011. The next prime is 840474474107.

840474474048 is a `hidden beast` number, since 84 + 0 + 47 + 447 + 40 + 48 = 666.

840474474048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 840474473985 and 840474474003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9975265 + ... + 10059167.

Almost surely, 2^840474474048 is an apocalyptic number.

840474474048 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 840474474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473058897920).

840474474048 is an abundant number, since it is smaller than the sum of its proper divisors (2105643321792).

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

840474474048 is a wasteful number, since it uses less digits than its factorization.

840474474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83983 (or 83967 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 54.

The spelling of 840474474048 in words is "eight hundred forty billion, four hundred seventy-four million, four hundred seventy-four thousand, forty-eight".