240125645151216 has 320 divisors, whose sum is σ = 791942598144000. Its totient is φ = 68895538225920.

The previous prime is 240125645151209. The next prime is 240125645151253. The reversal of 240125645151216 is 612151546521042.

240125645151216 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 2 + 5 + 6 + 4 + 515 + 121 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154794445 + ... + 156338003.

It is an arithmetic number, because the mean of its divisors is an integer number (2474820619200).

Almost surely, 2^{240125645151216} 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 240125645151216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395971299072000).

240125645151216 is an abundant number, since it is smaller than the sum of its proper divisors (551816952992784).

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

240125645151216 is a wasteful number, since it uses less digits than its factorization.

240125645151216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545329 (or 1545317 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 240125645151216 in words is "two hundred forty trillion, one hundred twenty-five billion, six hundred forty-five million, one hundred fifty-one thousand, two hundred sixteen".