4084299976320 has 384 divisors, whose sum is σ = 14736206309760. Its totient is φ = 1040418643968.

The previous prime is 4084299976319. The next prime is 4084299976333. The reversal of 4084299976320 is 236799924804.

4084299976320 is a `hidden beast` number, since 40 + 8 + 429 + 9 + 97 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102387099 + ... + 102426981.

It is an arithmetic number, because the mean of its divisors is an integer number (38375537265).

Almost surely, 2^{4084299976320} is an apocalyptic number.

4084299976320 is a gapful number since it is divisible by the number (40) 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 4084299976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368103154880).

4084299976320 is an abundant number, since it is smaller than the sum of its proper divisors (10651906333440).

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

4084299976320 is a wasteful number, since it uses less digits than its factorization.

4084299976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40704 (or 40689 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 4084299976320 in words is "four trillion, eighty-four billion, two hundred ninety-nine million, nine hundred seventy-six thousand, three hundred twenty".