42005965920723 has 576 divisors, whose sum is σ = 79713324687360. Its totient is φ = 21163161600000.

The previous prime is 42005965920629. The next prime is 42005965920733. The reversal of 42005965920723 is 32702956950024.

42005965920723 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 596 + 5 + 9 + 20 + 7 + 23 = 666.

42005965920723 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42005965920723 - 2¹² = 42005965916627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42005965920723.

It is not an unprimeable number, because it can be changed into a prime (42005965920733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 232077159693 + ... + 232077159873.

Almost surely, 2^{42005965920723} is an apocalyptic number.

42005965920723 is a deficient number, since it is larger than the sum of its proper divisors (37707358766637).

42005965920723 is a wasteful number, since it uses less digits than its factorization.

42005965920723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 42005965920723 in words is "forty-two trillion, five billion, nine hundred sixty-five million, nine hundred twenty thousand, seven hundred twenty-three".