10041867347072 has 72 divisors (see below), whose sum is σ = 21990141186195. Its totient is φ = 4564305898240.

The previous prime is 10041867347069. The next prime is 10041867347089. The reversal of 10041867347072 is 27074376814001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5020933673536 + 5020933673536 = 2240744^2 + 2240744^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2240744.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10041867347072.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 394358213 + ... + 394383675.

Almost surely, 2^{10041867347072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041867347072

10041867347072 is an abundant number, since it is smaller than the sum of its proper divisors (11948273839123).

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

10041867347072 is an frugal number, since it uses more digits than its factorization.

10041867347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50962 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

Multiplying 10041867347072 by its sum of digits (50), we get a square (502093367353600 = 22407440²).

The spelling of 10041867347072 in words is "ten trillion, forty-one billion, eight hundred sixty-seven million, three hundred forty-seven thousand, seventy-two".