10240760666400 has 1152 divisors, whose sum is σ = 38752851658752. Its totient is φ = 2326302720000.

The previous prime is 10240760666363. The next prime is 10240760666413. The reversal of 10240760666400 is 466606704201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2839133397 + ... + 2839137003.

It is an arithmetic number, because the mean of its divisors is an integer number (33639628176).

Almost surely, 2^{10240760666400} is an apocalyptic number.

10240760666400 is a gapful number since it is divisible by the number (10) 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 10240760666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19376425829376).

10240760666400 is an abundant number, since it is smaller than the sum of its proper divisors (28512090992352).

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

10240760666400 is a wasteful number, since it uses less digits than its factorization.

10240760666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 10240760666400 in words is "ten trillion, two hundred forty billion, seven hundred sixty million, six hundred sixty-six thousand, four hundred".