243606004151400 has 768 divisors, whose sum is σ = 931260395520000. Its totient is φ = 58031500032000.

The previous prime is 243606004151399. The next prime is 243606004151417. The reversal of 243606004151400 is 4151400606342.

243606004151400 is a `hidden beast` number, since 2 + 4 + 3 + 6 + 0 + 600 + 4 + 1 + 5 + 1 + 40 + 0 = 666.

It is a super-2 number, since 2×243606004151400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9564040665 + ... + 9564066135.

It is an arithmetic number, because the mean of its divisors is an integer number (1212578640000).

Almost surely, 2^{243606004151400} is an apocalyptic number.

243606004151400 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 243606004151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465630197760000).

243606004151400 is an abundant number, since it is smaller than the sum of its proper divisors (687654391368600).

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

243606004151400 is a wasteful number, since it uses less digits than its factorization.

243606004151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28295 (or 28280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 243606004151400 its reverse (4151400606342), we get a palindrome (247757404757742).

The spelling of 243606004151400 in words is "two hundred forty-three trillion, six hundred six billion, four million, one hundred fifty-one thousand, four hundred".