42005253656 has 64 divisors (see below), whose sum is σ = 83451340800. Its totient is φ = 19766592000.

The previous prime is 42005253643. The next prime is 42005253659. The reversal of 42005253656 is 65635250024.

42005253656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42005253656³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005253659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16516721 + ... + 16519263.

It is an arithmetic number, because the mean of its divisors is an integer number (1303927200).

Almost surely, 2^42005253656 is an apocalyptic number.

It is an amenable number.

42005253656 is a deficient number, since it is larger than the sum of its proper divisors (41446087144).

42005253656 is a wasteful number, since it uses less digits than its factorization.

42005253656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 42005253656 in words is "forty-two billion, five million, two hundred fifty-three thousand, six hundred fifty-six".