422141346849600 has 756 divisors, whose sum is σ = 1771830094505952. Its totient is φ = 93376866355200.

The previous prime is 422141346849581. The next prime is 422141346849617. The reversal of 422141346849600 is 6948643141224.

422141346849600 is a `hidden beast` number, since 4 + 2 + 2 + 14 + 13 + 4 + 6 + 8 + 4 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 94689867 + ... + 99047733.

Almost surely, 2^{422141346849600} is an apocalyptic number.

422141346849600 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 422141346849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885915047252976).

422141346849600 is an abundant number, since it is smaller than the sum of its proper divisors (1349688747656352).

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

422141346849600 is a wasteful number, since it uses less digits than its factorization.

422141346849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357964 (or 4357915 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 422141346849600 in words is "four hundred twenty-two trillion, one hundred forty-one billion, three hundred forty-six million, eight hundred forty-nine thousand, six hundred".