42480811808424 has 192 divisors, whose sum is σ = 129151094500800. Its totient is φ = 12830974128000.

The previous prime is 42480811808419. The next prime is 42480811808431.

42480811808424 is a `hidden beast` number, since 4 + 2 + 480 + 8 + 1 + 1 + 80 + 84 + 2 + 4 = 666.

42480811808424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223840774 + ... + 224030474.

It is an arithmetic number, because the mean of its divisors is an integer number (672661950525).

Almost surely, 2^{42480811808424} is an apocalyptic number.

42480811808424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42480811808424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64575547250400).

42480811808424 is an abundant number, since it is smaller than the sum of its proper divisors (86670282692376).

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

42480811808424 is a wasteful number, since it uses less digits than its factorization.

42480811808424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190341 (or 190024 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 54.

The spelling of 42480811808424 in words is "forty-two trillion, four hundred eighty billion, eight hundred eleven million, eight hundred eight thousand, four hundred twenty-four".