10140060114240 has 448 divisors, whose sum is σ = 38686827294720. Its totient is φ = 2200029511680.

The previous prime is 10140060114221. The next prime is 10140060114257. The reversal of 10140060114240 is 4241106004101.

It is a tau number, because it is divible by the number of its divisors (448).

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 10140060114240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19996956 + ... + 20497764.

Almost surely, 2^{10140060114240} is an apocalyptic number.

10140060114240 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 10140060114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343413647360).

10140060114240 is an abundant number, since it is smaller than the sum of its proper divisors (28546767180480).

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

10140060114240 is a wasteful number, since it uses less digits than its factorization.

10140060114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500990 (or 500980 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10140060114240 its reverse (4241106004101), we get a palindrome (14381166118341).

The spelling of 10140060114240 in words is "ten trillion, one hundred forty billion, sixty million, one hundred fourteen thousand, two hundred forty".