42242603358120 has 512 divisors, whose sum is σ = 141997916712960. Its totient is φ = 9966228480000.

The previous prime is 42242603358031. The next prime is 42242603358133. The reversal of 42242603358120 is 2185330624224.

It is a happy number.

It is a super-2 number, since 2×42242603358120² (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 127 ways as a sum of consecutive naturals, for example, 8313833980 + ... + 8313839060.

It is an arithmetic number, because the mean of its divisors is an integer number (277339681080).

Almost surely, 2^{42242603358120} is an apocalyptic number.

42242603358120 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 42242603358120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70998958356480).

42242603358120 is an abundant number, since it is smaller than the sum of its proper divisors (99755313354840).

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

42242603358120 is a wasteful number, since it uses less digits than its factorization.

42242603358120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 42242603358120 in words is "forty-two trillion, two hundred forty-two billion, six hundred three million, three hundred fifty-eight thousand, one hundred twenty".