10067404040033 has 12 divisors (see below), whose sum is σ = 10702297784652. Its totient is φ = 9468241489920.

The previous prime is 10067404040017. The next prime is 10067404040077. The reversal of 10067404040033 is 33004040476001.

It can be written as a sum of positive squares in 6 ways, for example, as 29481920209 + 10037922119824 = 171703^2 + 3168268^2 .

It is not a de Polignac number, because 10067404040033 - 2⁴ = 10067404040017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10067404040633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12404360 + ... + 13191017.

It is an arithmetic number, because the mean of its divisors is an integer number (891858148721).

Almost surely, 2^{10067404040033} is an apocalyptic number.

It is an amenable number.

10067404040033 is a deficient number, since it is larger than the sum of its proper divisors (634893744619).

10067404040033 is a wasteful number, since it uses less digits than its factorization.

10067404040033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25596772 (or 25596755 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 10067404040033 in words is "ten trillion, sixty-seven billion, four hundred four million, forty thousand, thirty-three".