22434240400 has 240 divisors, whose sum is σ = 67048708608. Its totient is φ = 7087104000.

The previous prime is 22434240343. The next prime is 22434240419. The reversal of 22434240400 is 404243422.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 960865 + ... + 983935.

Almost surely, 2^22434240400 is an apocalyptic number.

22434240400 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 22434240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33524354304).

22434240400 is an abundant number, since it is smaller than the sum of its proper divisors (44614468208).

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

22434240400 is a wasteful number, since it uses less digits than its factorization.

22434240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23130 (or 23119 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 22434240400 its reverse (404243422), we get a palindrome (22838483822).

The spelling of 22434240400 in words is "twenty-two billion, four hundred thirty-four million, two hundred forty thousand, four hundred".