422427481931520 has 1440 divisors, whose sum is σ = 1668490255599552. Its totient is φ = 101390766833664.

The previous prime is 422427481931513. The next prime is 422427481931569. The reversal of 422427481931520 is 25139184724224.

422427481931520 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 2 + 7 + 4 + 81 + 9 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35759537134 + ... + 35759548946.

Almost surely, 2^{422427481931520} is an apocalyptic number.

422427481931520 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 422427481931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834245127799776).

422427481931520 is an abundant number, since it is smaller than the sum of its proper divisors (1246062773668032).

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

422427481931520 is a wasteful number, since it uses less digits than its factorization.

422427481931520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12519 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 422427481931520 in words is "four hundred twenty-two trillion, four hundred twenty-seven billion, four hundred eighty-one million, nine hundred thirty-one thousand, five hundred twenty".