8084440084400 has 60 divisors (see below), whose sum is σ = 19452252004464. Its totient is φ = 3228883680000.

The previous prime is 8084440084387. The next prime is 8084440084417. The reversal of 8084440084400 is 44800444808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15023876 + ... + 15552675.

Almost surely, 2^{8084440084400} is an apocalyptic number.

8084440084400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8084440084400 is an abundant number, since it is smaller than the sum of its proper divisors (11367811920064).

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

8084440084400 is a wasteful number, since it uses less digits than its factorization.

8084440084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30577230 (or 30577219 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 8084440084400 in words is "eight trillion, eighty-four billion, four hundred forty million, eighty-four thousand, four hundred".