10290118240 has 48 divisors (see below), whose sum is σ = 24317441568. Its totient is φ = 4114855936.

The previous prime is 10290118229. The next prime is 10290118303. The reversal of 10290118240 is 4281109201.

10290118240 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 = 10290118199 and 10290118208.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 726264 + ... + 740296.

It is an arithmetic number, because the mean of its divisors is an integer number (506613366).

Almost surely, 2^10290118240 is an apocalyptic number.

10290118240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10290118240 is an abundant number, since it is smaller than the sum of its proper divisors (14027323328).

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

10290118240 is a wasteful number, since it uses less digits than its factorization.

10290118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631 (or 18623 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10290118240 in words is "ten billion, two hundred ninety million, one hundred eighteen thousand, two hundred forty".