240006400465050 has 576 divisors, whose sum is σ = 706423536000000. Its totient is φ = 60415720335360.

The previous prime is 240006400465037. The next prime is 240006400465093. The reversal of 240006400465050 is 50564004600042.

240006400465050 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 0 + 640 + 0 + 4 + 6 + 5 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 240006400464996 and 240006400465014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 127730920011 + ... + 127730921889.

It is an arithmetic number, because the mean of its divisors is an integer number (1226429750000).

Almost surely, 2^{240006400465050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240006400465050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353211768000000).

240006400465050 is an abundant number, since it is smaller than the sum of its proper divisors (466417135534950).

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

240006400465050 is a wasteful number, since it uses less digits than its factorization.

240006400465050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 240006400465050 in words is "two hundred forty trillion, six billion, four hundred million, four hundred sixty-five thousand, fifty".