42408768430080 has 1792 divisors, whose sum is σ = 170414571479040. Its totient is φ = 9927672201216.

The previous prime is 42408768430073. The next prime is 42408768430159. The reversal of 42408768430080 is 8003486780424.

It is a happy number.

42408768430080 is a `hidden beast` number, since 424 + 0 + 87 + 68 + 4 + 3 + 0 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42408768429999 and 42408768430026.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 91595611929 + ... + 91595612391.

It is an arithmetic number, because the mean of its divisors is an integer number (95097417120).

Almost surely, 2^{42408768430080} is an apocalyptic number.

42408768430080 is a gapful number since it is divisible by the number (40) 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 42408768430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85207285739520).

42408768430080 is an abundant number, since it is smaller than the sum of its proper divisors (128005803048960).

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

42408768430080 is a wasteful number, since it uses less digits than its factorization.

42408768430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 42408768430080 in words is "forty-two trillion, four hundred eight billion, seven hundred sixty-eight million, four hundred thirty thousand, eighty".