42220443100410 has 256 divisors, whose sum is σ = 119047234982400. Its totient is φ = 10631338518528.

The previous prime is 42220443100397. The next prime is 42220443100471. The reversal of 42220443100410 is 1400134402224.

42220443100410 is a `hidden beast` number, since 4 + 2 + 2 + 204 + 43 + 1 + 0 + 0 + 410 = 666.

42220443100410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129729349 + ... + 130054391.

It is an arithmetic number, because the mean of its divisors is an integer number (465028261650).

Almost surely, 2^{42220443100410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42220443100410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59523617491200).

42220443100410 is an abundant number, since it is smaller than the sum of its proper divisors (76826791881990).

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

42220443100410 is a wasteful number, since it uses less digits than its factorization.

42220443100410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325454 (or 325448 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42220443100410 its reverse (1400134402224), we get a palindrome (43620577502634).

The spelling of 42220443100410 in words is "forty-two trillion, two hundred twenty billion, four hundred forty-three million, one hundred thousand, four hundred ten".