10240451214140 has 192 divisors, whose sum is σ = 25531145256960. Its totient is φ = 3376186548480.

The previous prime is 10240451214131. The next prime is 10240451214143. The reversal of 10240451214140 is 4141215404201.

10240451214140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240451214143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198690709 + ... + 1198699251.

It is an arithmetic number, because the mean of its divisors is an integer number (132974714880).

Almost surely, 2^{10240451214140} is an apocalyptic number.

10240451214140 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 10240451214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765572628480).

10240451214140 is an abundant number, since it is smaller than the sum of its proper divisors (15290694042820).

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

10240451214140 is a wasteful number, since it uses less digits than its factorization.

10240451214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 10240451214140 its reverse (4141215404201), we get a palindrome (14381666618341).

The spelling of 10240451214140 in words is "ten trillion, two hundred forty billion, four hundred fifty-one million, two hundred fourteen thousand, one hundred forty".