42005884653 has 24 divisors (see below), whose sum is σ = 63333329280. Its totient is φ = 26777852640.

The previous prime is 42005884573. The next prime is 42005884663. The reversal of 42005884653 is 35648850024.

42005884653 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 588 + 4 + 65 + 3 = 666.

It is not a de Polignac number, because 42005884653 - 2¹³ = 42005876461 is a prime.

It is a super-2 number, since 2×42005884653² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42005884599 and 42005884608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005884663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656463 + ... + 717603.

It is an arithmetic number, because the mean of its divisors is an integer number (2638888720).

Almost surely, 2^42005884653 is an apocalyptic number.

It is an amenable number.

42005884653 is a deficient number, since it is larger than the sum of its proper divisors (21327444627).

42005884653 is a wasteful number, since it uses less digits than its factorization.

42005884653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64489 (or 64486 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 42005884653 in words is "forty-two billion, five million, eight hundred eighty-four thousand, six hundred fifty-three".