422690421316800 has 1344 divisors, whose sum is σ = 1807683580846080. Its totient is φ = 83914626170880.

The previous prime is 422690421316729. The next prime is 422690421316837. The reversal of 422690421316800 is 8613124096224.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×422690421316800³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 422690421316800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51006442257 + ... + 51006450543.

It is an arithmetic number, because the mean of its divisors is an integer number (1345002664320).

Almost surely, 2^{422690421316800} is an apocalyptic number.

422690421316800 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 422690421316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903841790423040).

422690421316800 is an abundant number, since it is smaller than the sum of its proper divisors (1384993159529280).

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

422690421316800 is a wasteful number, since it uses less digits than its factorization.

422690421316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15218 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 422690421316800 in words is "four hundred twenty-two trillion, six hundred ninety billion, four hundred twenty-one million, three hundred sixteen thousand, eight hundred".