10459722240 has 320 divisors, whose sum is σ = 40534369920. Its totient is φ = 2535505920.

The previous prime is 10459722239. The next prime is 10459722253. The reversal of 10459722240 is 4222795401.

10459722240 is a `hidden beast` number, since 1 + 0 + 4 + 597 + 2 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 10459722195 and 10459722204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753442 + ... + 767198.

It is an arithmetic number, because the mean of its divisors is an integer number (126669906).

Almost surely, 2^10459722240 is an apocalyptic number.

10459722240 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 10459722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267184960).

10459722240 is an abundant number, since it is smaller than the sum of its proper divisors (30074647680).

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

10459722240 is a wasteful number, since it uses less digits than its factorization.

10459722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 13778 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10459722240 in words is "ten billion, four hundred fifty-nine million, seven hundred twenty-two thousand, two hundred forty".