240090408730368 has 864 divisors, whose sum is σ = 876102767554560. Its totient is φ = 64095221514240.

The previous prime is 240090408730351. The next prime is 240090408730421. The reversal of 240090408730368 is 863037804090042.

240090408730368 is a `hidden beast` number, since 2 + 400 + 90 + 40 + 87 + 3 + 0 + 36 + 8 = 666.

240090408730368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 391168296 + ... + 391781592.

Almost surely, 2^{240090408730368} is an apocalyptic number.

240090408730368 is a gapful number since it is divisible by the number (28) 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 240090408730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438051383777280).

240090408730368 is an abundant number, since it is smaller than the sum of its proper divisors (636012358824192).

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

240090408730368 is an equidigital number, since it uses as much as digits as its factorization.

240090408730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613395 (or 613369 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 240090408730368 in words is "two hundred forty trillion, ninety billion, four hundred eight million, seven hundred thirty thousand, three hundred sixty-eight".