243104653440 has 768 divisors, whose sum is σ = 975246480000. Its totient is φ = 55180984320.

The previous prime is 243104653423. The next prime is 243104653471. The reversal of 243104653440 is 44356401342.

243104653440 is a `hidden beast` number, since 2 + 43 + 1 + 0 + 46 + 534 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 243104653395 and 243104653404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107140626 + ... + 107142894.

Almost surely, 2^243104653440 is an apocalyptic number.

243104653440 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 243104653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487623240000).

243104653440 is an abundant number, since it is smaller than the sum of its proper divisors (732141826560).

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

243104653440 is a wasteful number, since it uses less digits than its factorization.

243104653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 243104653440 in words is "two hundred forty-three billion, one hundred four million, six hundred fifty-three thousand, four hundred forty".