10040434511311 has 16 divisors (see below), whose sum is σ = 10717898635008. Its totient is φ = 9372879936000.

The previous prime is 10040434511291. The next prime is 10040434511339. The reversal of 10040434511311 is 11311543404001.

It is a cyclic number.

It is not a de Polignac number, because 10040434511311 - 2¹³ = 10040434503119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10040434511311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040434511351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816415 + ... + 5292736.

It is an arithmetic number, because the mean of its divisors is an integer number (669868664688).

Almost surely, 2^{10040434511311} is an apocalyptic number.

10040434511311 is a deficient number, since it is larger than the sum of its proper divisors (677464123697).

10040434511311 is a wasteful number, since it uses less digits than its factorization.

10040434511311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109762.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 10040434511311 its reverse (11311543404001), we get a palindrome (21351977915312).

The spelling of 10040434511311 in words is "ten trillion, forty billion, four hundred thirty-four million, five hundred eleven thousand, three hundred eleven".