4084642464804 has 384 divisors, whose sum is σ = 12266391244800. Its totient is φ = 1164130652160.

The previous prime is 4084642464787. The next prime is 4084642464857.

4084642464804 is a `hidden beast` number, since 4 + 0 + 84 + 6 + 42 + 46 + 480 + 4 = 666.

4084642464804 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183329337 + ... + 183351615.

It is an arithmetic number, because the mean of its divisors is an integer number (31943727200).

Almost surely, 2^{4084642464804} is an apocalyptic number.

4084642464804 is a gapful number since it is divisible by the number (44) 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 4084642464804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133195622400).

4084642464804 is an abundant number, since it is smaller than the sum of its proper divisors (8181748779996).

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

4084642464804 is a wasteful number, since it uses less digits than its factorization.

4084642464804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22480 (or 22472 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 4084642464804 in words is "four trillion, eighty-four billion, six hundred forty-two million, four hundred sixty-four thousand, eight hundred four".