840484091028456 has 1152 divisors, whose sum is σ = 2860809161932800. Its totient is φ = 217786185630720.

The previous prime is 840484091028451. The next prime is 840484091028467. The reversal of 840484091028456 is 654820190484048.

840484091028456 is a `hidden beast` number, since 8 + 4 + 0 + 48 + 409 + 102 + 84 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 840484091028393 and 840484091028402.

It is not an unprimeable number, because it can be changed into a prime (840484091028451) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 343475311825 + ... + 343475314271.

It is an arithmetic number, because the mean of its divisors is an integer number (2483341286400).

Almost surely, 2^{840484091028456} 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 840484091028456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430404580966400).

840484091028456 is an abundant number, since it is smaller than the sum of its proper divisors (2020325070904344).

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

840484091028456 is a wasteful number, since it uses less digits than its factorization.

840484091028456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 840484091028456 in words is "eight hundred forty trillion, four hundred eighty-four billion, ninety-one million, twenty-eight thousand, four hundred fifty-six".