10359040440 has 128 divisors (see below), whose sum is σ = 37605980160. Its totient is φ = 2228496384.

The previous prime is 10359040421. The next prime is 10359040441. The reversal of 10359040440 is 4404095301.

10359040440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10359040440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10359040398 and 10359040407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10359040441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 348432 + ... + 376991.

It is an arithmetic number, because the mean of its divisors is an integer number (293796720).

Almost surely, 2^10359040440 is an apocalyptic number.

10359040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10359040440 is an abundant number, since it is smaller than the sum of its proper divisors (27246939720).

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

10359040440 is a wasteful number, since it uses less digits than its factorization.

10359040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725461 (or 725457 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10359040440 in words is "ten billion, three hundred fifty-nine million, forty thousand, four hundred forty".