243142220400 has 240 divisors, whose sum is σ = 787652944128. Its totient is φ = 64108800000.

The previous prime is 243142220389. The next prime is 243142220479. The reversal of 243142220400 is 4022241342.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 81018900 + ... + 81021900.

Almost surely, 2^243142220400 is an apocalyptic number.

243142220400 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 243142220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393826472064).

243142220400 is an abundant number, since it is smaller than the sum of its proper divisors (544510723728).

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

243142220400 is a wasteful number, since it uses less digits than its factorization.

243142220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 243142220400 its reverse (4022241342), we get a palindrome (247164461742).

The spelling of 243142220400 in words is "two hundred forty-three billion, one hundred forty-two million, two hundred twenty thousand, four hundred".