4084940542320 has 800 divisors, whose sum is σ = 15932813377536. Its totient is φ = 961486848000.

The previous prime is 4084940542313. The next prime is 4084940542337. The reversal of 4084940542320 is 232450494804.

4084940542320 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 9 + 405 + 4 + 232 + 0 = 666.

4084940542320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4084940542320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 425465520 + ... + 425475120.

Almost surely, 2^{4084940542320} is an apocalyptic number.

4084940542320 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 4084940542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966406688768).

4084940542320 is an abundant number, since it is smaller than the sum of its proper divisors (11847872835216).

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

4084940542320 is a wasteful number, since it uses less digits than its factorization.

4084940542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9811 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4084940542320 in words is "four trillion, eighty-four billion, nine hundred forty million, five hundred forty-two thousand, three hundred twenty".