42405332520 has 32 divisors (see below), whose sum is σ = 127215997920. Its totient is φ = 11308088640.

The previous prime is 42405332513. The next prime is 42405332527. The reversal of 42405332520 is 2523350424.

It is an interprime number because it is at equal distance from previous prime (42405332513) and next prime (42405332527).

It is a super-2 number, since 2×42405332520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42405332527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176688766 + ... + 176689005.

It is an arithmetic number, because the mean of its divisors is an integer number (3975499935).

Almost surely, 2^42405332520 is an apocalyptic number.

42405332520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42405332520 is an abundant number, since it is smaller than the sum of its proper divisors (84810665400).

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

42405332520 is a wasteful number, since it uses less digits than its factorization.

42405332520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353377785 (or 353377781 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 42405332520 its reverse (2523350424), we get a palindrome (44928682944).

The spelling of 42405332520 in words is "forty-two billion, four hundred five million, three hundred thirty-two thousand, five hundred twenty".