10210440114240 has 672 divisors, whose sum is σ = 36458155054080. Its totient is φ = 2409765507072.

The previous prime is 10210440114229. The next prime is 10210440114293. The reversal of 10210440114240 is 4241104401201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10210440114240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 775685899 + ... + 775699061.

Almost surely, 2^{10210440114240} is an apocalyptic number.

10210440114240 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 10210440114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229077527040).

10210440114240 is an abundant number, since it is smaller than the sum of its proper divisors (26247714939840).

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

10210440114240 is a wasteful number, since it uses less digits than its factorization.

10210440114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10210440114240 its reverse (4241104401201), we get a palindrome (14451544515441).

The spelling of 10210440114240 in words is "ten trillion, two hundred ten billion, four hundred forty million, one hundred fourteen thousand, two hundred forty".