10405771040 has 96 divisors (see below), whose sum is σ = 29574357120. Its totient is φ = 3379912704.

The previous prime is 10405771037. The next prime is 10405771063. The reversal of 10405771040 is 4017750401.

10405771040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10405770994 and 10405771012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223217 + ... + 265776.

It is an arithmetic number, because the mean of its divisors is an integer number (308066220).

Almost surely, 2^10405771040 is an apocalyptic number.

10405771040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405771040 is an abundant number, since it is smaller than the sum of its proper divisors (19168586080).

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

10405771040 is a wasteful number, since it uses less digits than its factorization.

10405771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489034 (or 489026 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The spelling of 10405771040 in words is "ten billion, four hundred five million, seven hundred seventy-one thousand, forty".