422526741120 has 640 divisors, whose sum is σ = 1650174768000. Its totient is φ = 102177054720.

The previous prime is 422526741113. The next prime is 422526741149. The reversal of 422526741120 is 21147625224.

422526741120 is a `hidden beast` number, since 4 + 2 + 2 + 526 + 7 + 4 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×422526741120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 341573142 + ... + 341574378.

It is an arithmetic number, because the mean of its divisors is an integer number (2578398075).

Almost surely, 2^422526741120 is an apocalyptic number.

422526741120 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 422526741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825087384000).

422526741120 is an abundant number, since it is smaller than the sum of its proper divisors (1227648026880).

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

422526741120 is a wasteful number, since it uses less digits than its factorization.

422526741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 422526741120 in words is "four hundred twenty-two billion, five hundred twenty-six million, seven hundred forty-one thousand, one hundred twenty".