243400101014400 has 768 divisors, whose sum is σ = 897228395493120. Its totient is φ = 57496190976000.

The previous prime is 243400101014383. The next prime is 243400101014443. The reversal of 243400101014400 is 4410101004342.

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 95 ways as a sum of consecutive naturals, for example, 689074632 + ... + 689427768.

It is an arithmetic number, because the mean of its divisors is an integer number (1168266139965).

Almost surely, 2^{243400101014400} is an apocalyptic number.

243400101014400 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 243400101014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448614197746560).

243400101014400 is an abundant number, since it is smaller than the sum of its proper divisors (653828294478720).

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

243400101014400 is a wasteful number, since it uses less digits than its factorization.

243400101014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353343 (or 353326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 243400101014400 its reverse (4410101004342), we get a palindrome (247810202018742).

The spelling of 243400101014400 in words is "two hundred forty-three trillion, four hundred billion, one hundred one million, fourteen thousand, four hundred".