10140414431249 has 2 divisors, whose sum is σ = 10140414431250. Its totient is φ = 10140414431248.

The previous prime is 10140414431227. The next prime is 10140414431269. The reversal of 10140414431249 is 94213441404101.

10140414431249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9458435758849 + 681978672400 = 3075457^2 + 825820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10140414431249 - 2¹² = 10140414427153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10140414431269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5070207215624 + 5070207215625.

It is an arithmetic number, because the mean of its divisors is an integer number (5070207215625).

Almost surely, 2^{10140414431249} is an apocalyptic number.

It is an amenable number.

10140414431249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140414431249 is an equidigital number, since it uses as much as digits as its factorization.

10140414431249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 10140414431249 in words is "ten trillion, one hundred forty billion, four hundred fourteen million, four hundred thirty-one thousand, two hundred forty-nine".