22132041254400 has 480 divisors, whose sum is σ = 91152404944128. Its totient is φ = 4598865100800.

The previous prime is 22132041254399. The next prime is 22132041254417. The reversal of 22132041254400 is 445214023122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785767 + ... + 6699366.

Almost surely, 2^{22132041254400} is an apocalyptic number.

22132041254400 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 22132041254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45576202472064).

22132041254400 is an abundant number, since it is smaller than the sum of its proper divisors (69020363689728).

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

22132041254400 is a wasteful number, since it uses less digits than its factorization.

22132041254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7485182 (or 7485161 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22132041254400 its reverse (445214023122), we get a palindrome (22577255277522).

The spelling of 22132041254400 in words is "twenty-two trillion, one hundred thirty-two billion, forty-one million, two hundred fifty-four thousand, four hundred".