10766401440 has 96 divisors (see below), whose sum is σ = 34322895936. Its totient is φ = 2836439040.

The previous prime is 10766401417. The next prime is 10766401469. The reversal of 10766401440 is 4410466701.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95281 + ... + 174960.

It is an arithmetic number, because the mean of its divisors is an integer number (357530166).

Almost surely, 2^10766401440 is an apocalyptic number.

10766401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766401440 is an abundant number, since it is smaller than the sum of its proper divisors (23556494496).

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

10766401440 is a wasteful number, since it uses less digits than its factorization.

10766401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270342 (or 270334 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10766401440 in words is "ten billion, seven hundred sixty-six million, four hundred one thousand, four hundred forty".