422757814068480 has 1152 divisors, whose sum is σ = 1543718947921920. Its totient is φ = 97688962990080.

The previous prime is 422757814068407. The next prime is 422757814068503. The reversal of 422757814068480 is 84860418757224.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30134558106 + ... + 30134572134.

It is an arithmetic number, because the mean of its divisors is an integer number (1340033808960).

Almost surely, 2^{422757814068480} is an apocalyptic number.

422757814068480 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 422757814068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771859473960960).

422757814068480 is an abundant number, since it is smaller than the sum of its proper divisors (1120961133853440).

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

422757814068480 is a wasteful number, since it uses less digits than its factorization.

422757814068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14507 (or 14493 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 66.

The spelling of 422757814068480 in words is "four hundred twenty-two trillion, seven hundred fifty-seven billion, eight hundred fourteen million, sixty-eight thousand, four hundred eighty".