10140443516052 has 240 divisors, whose sum is σ = 28015442687232. Its totient is φ = 3192021043200.

The previous prime is 10140443516051. The next prime is 10140443516087. The reversal of 10140443516052 is 25061534404101.

10140443516052 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 4 + 43 + 5 + 1 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10140443515998 and 10140443516016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140443516051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 265667073 + ... + 265705239.

Almost surely, 2^{10140443516052} is an apocalyptic number.

10140443516052 is a gapful number since it is divisible by the number (12) 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 10140443516052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14007721343616).

10140443516052 is an abundant number, since it is smaller than the sum of its proper divisors (17874999171180).

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

10140443516052 is a wasteful number, since it uses less digits than its factorization.

10140443516052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38660 (or 38649 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10140443516052 in words is "ten trillion, one hundred forty billion, four hundred forty-three million, five hundred sixteen thousand, fifty-two".