416105753725 has 12 divisors (see below), whose sum is σ = 516229569684. Its totient is φ = 332717870720.

The previous prime is 416105753653. The next prime is 416105753737. The reversal of 416105753725 is 527357501614.

It can be written as a sum of positive squares in 6 ways, for example, as 4842628921 + 411263124804 = 69589^2 + 641298^2 .

It is not a de Polignac number, because 416105753725 - 2⁹ = 416105753213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4117384 + ... + 4217233.

It is an arithmetic number, because the mean of its divisors is an integer number (43019130807).

Almost surely, 2^416105753725 is an apocalyptic number.

It is an amenable number.

416105753725 is a deficient number, since it is larger than the sum of its proper divisors (100123815959).

416105753725 is a wasteful number, since it uses less digits than its factorization.

416105753725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8336624 (or 8336619 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 416105753725 in words is "four hundred sixteen billion, one hundred five million, seven hundred fifty-three thousand, seven hundred twenty-five".