422141039308800 has 1404 divisors, whose sum is σ = 1766283048372960. Its totient is φ = 96083202539520.

The previous prime is 422141039308763. The next prime is 422141039308823. The reversal of 422141039308800 is 8803930141224.

422141039308800 is a `hidden beast` number, since 4 + 221 + 4 + 10 + 39 + 308 + 80 + 0 = 666.

It is a super-3 number, since 3×422141039308800³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10792838044 + ... + 10792877156.

It is an arithmetic number, because the mean of its divisors is an integer number (1258036359240).

Almost surely, 2^{422141039308800} is an apocalyptic number.

422141039308800 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 422141039308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883141524186480).

422141039308800 is an abundant number, since it is smaller than the sum of its proper divisors (1344142009064160).

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

422141039308800 is a wasteful number, since it uses less digits than its factorization.

422141039308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39406 (or 39369 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 422141039308800 in words is "four hundred twenty-two trillion, one hundred forty-one billion, thirty-nine million, three hundred eight thousand, eight hundred".