240069681331920 has 960 divisors, whose sum is σ = 915882899742720. Its totient is φ = 57957961881600.

The previous prime is 240069681331897. The next prime is 240069681331979. The reversal of 240069681331920 is 29133186960042.

240069681331920 is a `hidden beast` number, since 2 + 400 + 6 + 96 + 8 + 133 + 19 + 2 + 0 = 666.

It is a super-3 number, since 3×240069681331920³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

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, 101853915382 + ... + 101853917738.

It is an arithmetic number, because the mean of its divisors is an integer number (954044687232).

Almost surely, 2^{240069681331920} is an apocalyptic number.

240069681331920 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 240069681331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457941449871360).

240069681331920 is an abundant number, since it is smaller than the sum of its proper divisors (675813218410800).

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

240069681331920 is a wasteful number, since it uses less digits than its factorization.

240069681331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 240069681331920 in words is "two hundred forty trillion, sixty-nine billion, six hundred eighty-one million, three hundred thirty-one thousand, nine hundred twenty".