10434712440711 has 64 divisors (see below), whose sum is σ = 15398173163520. Its totient is φ = 6245273197440.

The previous prime is 10434712440679. The next prime is 10434712440727. The reversal of 10434712440711 is 11704421743401.

10434712440711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10434712440711 - 2⁵ = 10434712440679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10434712440711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434712440791) 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, 506258796 + ... + 506279406.

It is an arithmetic number, because the mean of its divisors is an integer number (240596455680).

Almost surely, 2^{10434712440711} is an apocalyptic number.

10434712440711 is a deficient number, since it is larger than the sum of its proper divisors (4963460722809).

10434712440711 is a wasteful number, since it uses less digits than its factorization.

10434712440711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22396.

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 10434712440711 in words is "ten trillion, four hundred thirty-four billion, seven hundred twelve million, four hundred forty thousand, seven hundred eleven".