10084419072000 has 1248 divisors, whose sum is σ = 44744326972800. Its totient is φ = 2127613132800.

The previous prime is 10084419071989. The next prime is 10084419072019. The reversal of 10084419072000 is 27091448001.

10084419072000 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 441 + 9 + 0 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419315976 + ... + 419340024.

It is an arithmetic number, because the mean of its divisors is an integer number (35852826100).

Almost surely, 2^{10084419072000} is an apocalyptic number.

10084419072000 is a gapful number since it is divisible by the number (10) 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 10084419072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372163486400).

10084419072000 is an abundant number, since it is smaller than the sum of its proper divisors (34659907900800).

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

10084419072000 is a wasteful number, since it uses less digits than its factorization.

10084419072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24114 (or 24079 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10084419072000 in words is "ten trillion, eighty-four billion, four hundred nineteen million, seventy-two thousand".