8072007333441 has 8 divisors (see below), whose sum is σ = 10762774898304. Its totient is φ = 5381288995440.

The previous prime is 8072007333437. The next prime is 8072007333457. The reversal of 8072007333441 is 1443337002708.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8072007333441 - 2² = 8072007333437 is a prime.

It is a super-2 number, since 2×8072007333441² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8072007333393 and 8072007333402.

It is not an unprimeable number, because it can be changed into a prime (8072007333641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11922390 + ... + 12581231.

It is an arithmetic number, because the mean of its divisors is an integer number (1345346862288).

Almost surely, 2^{8072007333441} is an apocalyptic number.

It is an amenable number.

8072007333441 is a deficient number, since it is larger than the sum of its proper divisors (2690767564863).

8072007333441 is a wasteful number, since it uses less digits than its factorization.

8072007333441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24613431.

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 8072007333441 in words is "eight trillion, seventy-two billion, seven million, three hundred thirty-three thousand, four hundred forty-one".