10459710419840 has 256 divisors, whose sum is σ = 28891017662400. Its totient is φ = 3578808238080.

The previous prime is 10459710419839. The next prime is 10459710419843. The reversal of 10459710419840 is 4891401795401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10459710419843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533403956 + ... + 533423564.

Almost surely, 2^{10459710419840} is an apocalyptic number.

10459710419840 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 10459710419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445508831200).

10459710419840 is an abundant number, since it is smaller than the sum of its proper divisors (18431307242560).

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

10459710419840 is a wasteful number, since it uses less digits than its factorization.

10459710419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24113 (or 24101 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 10459710419840 in words is "ten trillion, four hundred fifty-nine billion, seven hundred ten million, four hundred nineteen thousand, eight hundred forty".