84484914040800 has 5184 divisors, whose sum is σ = 411280083264960. Its totient is φ = 16584394014720.

The previous prime is 84484914040673. The next prime is 84484914040801. The reversal of 84484914040800 is 804041948448.

84484914040800 is a `hidden beast` number, since 8 + 4 + 484 + 9 + 1 + 40 + 40 + 80 + 0 = 666.

84484914040800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84484914040801) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 362596197484 + ... + 362596197716.

It is an arithmetic number, because the mean of its divisors is an integer number (79336435815).

Almost surely, 2^{84484914040800} is an apocalyptic number.

84484914040800 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 84484914040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205640041632480).

84484914040800 is an abundant number, since it is smaller than the sum of its proper divisors (326795169224160).

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

84484914040800 is a wasteful number, since it uses less digits than its factorization.

84484914040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 84484914040800 in words is "eighty-four trillion, four hundred eighty-four billion, nine hundred fourteen million, forty thousand, eight hundred".