201422584440 has 1280 divisors, whose sum is σ = 920066688000. Its totient is φ = 38033694720.

The previous prime is 201422584427. The next prime is 201422584459. The reversal of 201422584440 is 44485224102.

201422584440 is a `hidden beast` number, since 2 + 0 + 14 + 22 + 584 + 4 + 40 = 666.

It is a super-2 number, since 2×201422584440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201422584395 and 201422584404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6945606346 + ... + 6945606374.

It is an arithmetic number, because the mean of its divisors is an integer number (718802100).

Almost surely, 2^201422584440 is an apocalyptic number.

201422584440 is a gapful number since it is divisible by the number (20) 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 201422584440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460033344000).

201422584440 is an abundant number, since it is smaller than the sum of its proper divisors (718644103560).

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

201422584440 is a wasteful number, since it uses less digits than its factorization.

201422584440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 201422584440 in words is "two hundred one billion, four hundred twenty-two million, five hundred eighty-four thousand, four hundred forty".