243039191040 has 720 divisors, whose sum is σ = 905989200480. Its totient is φ = 62426972160.

The previous prime is 243039191039. The next prime is 243039191053. The reversal of 243039191040 is 40191930342.

243039191040 is a `hidden beast` number, since 2 + 430 + 39 + 191 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 243039190986 and 243039191004.

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, 577290030 + ... + 577290450.

It is an arithmetic number, because the mean of its divisors is an integer number (1258318334).

Almost surely, 2^243039191040 is an apocalyptic number.

243039191040 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 243039191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452994600240).

243039191040 is an abundant number, since it is smaller than the sum of its proper divisors (662950009440).

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

243039191040 is an frugal number, since it uses more digits than its factorization.

243039191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 243039191040 in words is "two hundred forty-three billion, thirty-nine million, one hundred ninety-one thousand, forty".