10243634314140 has 144 divisors (see below), whose sum is σ = 31368401064000. Its totient is φ = 2705627556864.

The previous prime is 10243634314061. The next prime is 10243634314141. The reversal of 10243634314140 is 4141343634201.

10243634314140 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 634 + 3 + 1 + 4 + 14 + 0 = 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 = 10243634314095 and 10243634314104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243634314141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56866936 + ... + 57046784.

It is an arithmetic number, because the mean of its divisors is an integer number (217836118500).

Almost surely, 2^{10243634314140} is an apocalyptic number.

10243634314140 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 10243634314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15684200532000).

10243634314140 is an abundant number, since it is smaller than the sum of its proper divisors (21124766749860).

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

10243634314140 is a wasteful number, since it uses less digits than its factorization.

10243634314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182876 (or 182871 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 10243634314140 its reverse (4141343634201), we get a palindrome (14384977948341).

The spelling of 10243634314140 in words is "ten trillion, two hundred forty-three billion, six hundred thirty-four million, three hundred fourteen thousand, one hundred forty".