416724264541 has 32 divisors (see below), whose sum is σ = 465681807360. Its totient is φ = 370315411200.

The previous prime is 416724264529. The next prime is 416724264553. The reversal of 416724264541 is 145462427614.

It is an interprime number because it is at equal distance from previous prime (416724264529) and next prime (416724264553).

It is a cyclic number.

It is not a de Polignac number, because 416724264541 - 2⁹ = 416724264029 is a prime.

It is a super-2 number, since 2×416724264541² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416724264491 and 416724264500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416724264571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87014575 + ... + 87019363.

It is an arithmetic number, because the mean of its divisors is an integer number (14552556480).

Almost surely, 2^416724264541 is an apocalyptic number.

It is an amenable number.

416724264541 is a deficient number, since it is larger than the sum of its proper divisors (48957542819).

416724264541 is a wasteful number, since it uses less digits than its factorization.

416724264541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917.

The product of its digits is 1290240, while the sum is 46.

The spelling of 416724264541 in words is "four hundred sixteen billion, seven hundred twenty-four million, two hundred sixty-four thousand, five hundred forty-one".