10085390304444 has 288 divisors, whose sum is σ = 32761141969920. Its totient is φ = 2542669138944.

The previous prime is 10085390304413. The next prime is 10085390304487. The reversal of 10085390304444 is 44440309358001.

10085390304444 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 539 + 0 + 30 + 44 + 44 = 666.

It is a super-3 number, since 3×10085390304444³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10085390304444.

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, 124811247 + ... + 124892025.

Almost surely, 2^{10085390304444} is an apocalyptic number.

10085390304444 is a gapful number since it is divisible by the number (14) 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 10085390304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380570984960).

10085390304444 is an abundant number, since it is smaller than the sum of its proper divisors (22675751665476).

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

10085390304444 is a wasteful number, since it uses less digits than its factorization.

10085390304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82489 (or 82484 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10085390304444 in words is "ten trillion, eighty-five billion, three hundred ninety million, three hundred four thousand, four hundred forty-four".