10459743840 has 960 divisors, whose sum is σ = 46616169600. Its totient is φ = 2194698240.

The previous prime is 10459743839. The next prime is 10459743841. The reversal of 10459743840 is 4834795401.

10459743840 is a `hidden beast` number, since 10 + 4 + 597 + 4 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10459743839) and next prime (10459743841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10459743841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788550 + ... + 57788730.

It is an arithmetic number, because the mean of its divisors is an integer number (48558510).

Almost surely, 2^10459743840 is an apocalyptic number.

10459743840 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 10459743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308084800).

10459743840 is an abundant number, since it is smaller than the sum of its proper divisors (36156425760).

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

10459743840 is a wasteful number, since it uses less digits than its factorization.

10459743840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10459743840 in words is "ten billion, four hundred fifty-nine million, seven hundred forty-three thousand, eight hundred forty".