42414750878600 has 192 divisors, whose sum is σ = 109926730756800. Its totient is φ = 15125279662080.

The previous prime is 42414750878597. The next prime is 42414750878623. The reversal of 42414750878600 is 687805741424.

It is a super-2 number, since 2×42414750878600² (a number of 28 digits) contains 22 as substring.

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, 479093939 + ... + 479182461.

It is an arithmetic number, because the mean of its divisors is an integer number (572535056025).

Almost surely, 2^{42414750878600} is an apocalyptic number.

42414750878600 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 42414750878600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54963365378400).

42414750878600 is an abundant number, since it is smaller than the sum of its proper divisors (67511979878200).

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

42414750878600 is a wasteful number, since it uses less digits than its factorization.

42414750878600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95992 (or 95983 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 56.

The spelling of 42414750878600 in words is "forty-two trillion, four hundred fourteen billion, seven hundred fifty million, eight hundred seventy-eight thousand, six hundred".