22201432000040 has 128 divisors (see below), whose sum is σ = 51688623636000. Its totient is φ = 8578340536320.

The previous prime is 22201431999953. The next prime is 22201432000091. The reversal of 22201432000040 is 4000023410222.

It can be written as a sum of positive squares in 16 ways, for example, as 4144082632804 + 18057349367236 = 2035702^2 + 4249394^2 .

It is a super-2 number, since 2×22201432000040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22201431999976 and 22201432000021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41234486 + ... + 41769434.

Almost surely, 2^{22201432000040} is an apocalyptic number.

22201432000040 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 22201432000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25844311818000).

22201432000040 is an abundant number, since it is smaller than the sum of its proper divisors (29487191635960).

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

22201432000040 is a wasteful number, since it uses less digits than its factorization.

22201432000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535327 (or 535323 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22201432000040 its reverse (4000023410222), we get a palindrome (26201455410262).

The spelling of 22201432000040 in words is "twenty-two trillion, two hundred one billion, four hundred thirty-two million, forty", and thus it is an aban number.