40772064433 has 8 divisors (see below), whose sum is σ = 41322738600. Its totient is φ = 40224601728.

The previous prime is 40772064343. The next prime is 40772064457. The reversal of 40772064433 is 33446027704.

40772064433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17718804544 + 23053259889 = 133112^2 + 151833^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 40772064433 - 2²⁹ = 40235193521 is a prime.

It is a super-3 number, since 3×40772064433³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40772064133) 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, 777298 + ... + 828091.

It is an arithmetic number, because the mean of its divisors is an integer number (5165342325).

Almost surely, 2^40772064433 is an apocalyptic number.

It is an amenable number.

40772064433 is a deficient number, since it is larger than the sum of its proper divisors (550674167).

40772064433 is a wasteful number, since it uses less digits than its factorization.

40772064433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605731.

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 40772064433 in words is "forty billion, seven hundred seventy-two million, sixty-four thousand, four hundred thirty-three".