240031452221440 has 208 divisors, whose sum is σ = 628412225166720. Its totient is φ = 87278197800960.

The previous prime is 240031452221387. The next prime is 240031452221441. The reversal of 240031452221440 is 44122254130042.

It is a junction number, because it is equal to n+sod(n) for n = 240031452221396 and 240031452221405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240031452221441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4566174037 + ... + 4566226603.

Almost surely, 2^{240031452221440} is an apocalyptic number.

240031452221440 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 240031452221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314206112583360).

240031452221440 is an abundant number, since it is smaller than the sum of its proper divisors (388380772945280).

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

240031452221440 is a wasteful number, since it uses less digits than its factorization.

240031452221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72876 (or 72854 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 240031452221440 in words is "two hundred forty trillion, thirty-one billion, four hundred fifty-two million, two hundred twenty-one thousand, four hundred forty".