243226938240 has 1024 divisors, whose sum is σ = 1018618675200. Its totient is φ = 54075064320.

The previous prime is 243226938239. The next prime is 243226938263. The reversal of 243226938240 is 42839622342.

243226938240 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 269 + 382 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 635057089 + ... + 635057471.

It is an arithmetic number, because the mean of its divisors is an integer number (994744800).

Almost surely, 2^243226938240 is an apocalyptic number.

243226938240 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 243226938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509309337600).

243226938240 is an abundant number, since it is smaller than the sum of its proper divisors (775391736960).

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

243226938240 is a wasteful number, since it uses less digits than its factorization.

243226938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 243226938240 in words is "two hundred forty-three billion, two hundred twenty-six million, nine hundred thirty-eight thousand, two hundred forty".