23809941066240 has 5120 divisors, whose sum is σ = 112833921024000. Its totient is φ = 4635202682880.

The previous prime is 23809941066239. The next prime is 23809941066299. The reversal of 23809941066240 is 4266014990832.

23809941066240 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 9 + 9 + 4 + 1 + 0 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 355372254687 + ... + 355372254753.

It is an arithmetic number, because the mean of its divisors is an integer number (22037875200).

Almost surely, 2^{23809941066240} is an apocalyptic number.

23809941066240 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 23809941066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56416960512000).

23809941066240 is an abundant number, since it is smaller than the sum of its proper divisors (89023979957760).

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

23809941066240 is a wasteful number, since it uses less digits than its factorization.

23809941066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 23809941066240 in words is "twenty-three trillion, eight hundred nine billion, nine hundred forty-one million, sixty-six thousand, two hundred forty".