39442089645 has 256 divisors, whose sum is σ = 86999040000. Its totient is φ = 16899176448.

The previous prime is 39442089629. The next prime is 39442089671. The reversal of 39442089645 is 54698024493.

39442089645 is a `hidden beast` number, since 3 + 94 + 420 + 8 + 96 + 45 = 666.

It is not a de Polignac number, because 39442089645 - 2⁴ = 39442089629 is a prime.

It is a super-3 number, since 3×39442089645³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39442089591 and 39442089600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111733789 + ... + 111734141.

It is an arithmetic number, because the mean of its divisors is an integer number (339840000).

Almost surely, 2^39442089645 is an apocalyptic number.

39442089645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39442089645 is an abundant number, since it is smaller than the sum of its proper divisors (47556950355).

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

39442089645 is a wasteful number, since it uses less digits than its factorization.

39442089645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 39442089645 in words is "thirty-nine billion, four hundred forty-two million, eighty-nine thousand, six hundred forty-five".