422145683011360 has 768 divisors, whose sum is σ = 1279874856960000. Its totient is φ = 130430943498240.

The previous prime is 422145683011309. The next prime is 422145683011361. The reversal of 422145683011360 is 63110386541224.

It is a self number, because there is not a number n which added to its sum of digits gives 422145683011360.

It is not an unprimeable number, because it can be changed into a prime (422145683011361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60332379382 + ... + 60332386378.

It is an arithmetic number, because the mean of its divisors is an integer number (1666503720000).

Almost surely, 2^{422145683011360} is an apocalyptic number.

422145683011360 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 422145683011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639937428480000).

422145683011360 is an abundant number, since it is smaller than the sum of its proper divisors (857729173948640).

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

422145683011360 is a wasteful number, since it uses less digits than its factorization.

422145683011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 422145683011360 in words is "four hundred twenty-two trillion, one hundred forty-five billion, six hundred eighty-three million, eleven thousand, three hundred sixty".