42064523224020 has 288 divisors, whose sum is σ = 150810815675520. Its totient is φ = 9374409031680.

The previous prime is 42064523223971. The next prime is 42064523224027. The reversal of 42064523224020 is 2042232546024.

42064523224020 is a `hidden beast` number, since 4 + 2 + 0 + 645 + 2 + 3 + 2 + 2 + 4 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×42064523224020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42064523224027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13083885 + ... + 15978644.

It is an arithmetic number, because the mean of its divisors is an integer number (523648665540).

Almost surely, 2^{42064523224020} is an apocalyptic number.

It is an amenable number.

42064523224020 is an abundant number, since it is smaller than the sum of its proper divisors (108746292451500).

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

42064523224020 is a wasteful number, since it uses less digits than its factorization.

42064523224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29062615 (or 29062610 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 42064523224020 in words is "forty-two trillion, sixty-four billion, five hundred twenty-three million, two hundred twenty-four thousand, twenty".