240925639840128 has 384 divisors, whose sum is σ = 766692646686720. Its totient is φ = 72231572717568.

The previous prime is 240925639840117. The next prime is 240925639840139. The reversal of 240925639840128 is 821048936529042.

240925639840128 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 2 + 563 + 9 + 8 + 40 + 1 + 28 = 666.

240925639840128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240925639840117) and next prime (240925639840139).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×240925639840128³ (a number of 44 digits) contains 333 as substring.

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, 489373551 + ... + 489865617.

It is an arithmetic number, because the mean of its divisors is an integer number (1996595434080).

Almost surely, 2^{240925639840128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240925639840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383346323343360).

240925639840128 is an abundant number, since it is smaller than the sum of its proper divisors (525767006846592).

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

240925639840128 is a wasteful number, since it uses less digits than its factorization.

240925639840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493214 (or 493199 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 240925639840128 in words is "two hundred forty trillion, nine hundred twenty-five billion, six hundred thirty-nine million, eight hundred forty thousand, one hundred twenty-eight".