10459290240 has 1280 divisors, whose sum is σ = 47274796800. Its totient is φ = 2149908480.

The previous prime is 10459290161. The next prime is 10459290253. The reversal of 10459290240 is 4209295401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10459290195 and 10459290204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 255104620 + ... + 255104660.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^10459290240 is an apocalyptic number.

10459290240 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 10459290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637398400).

10459290240 is an abundant number, since it is smaller than the sum of its proper divisors (36815506560).

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

10459290240 is a wasteful number, since it uses less digits than its factorization.

10459290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10459290240 in words is "ten billion, four hundred fifty-nine million, two hundred ninety thousand, two hundred forty".