416264442521 has 4 divisors (see below), whose sum is σ = 426417233844. Its totient is φ = 406111651200.

The previous prime is 416264442499. The next prime is 416264442523. The reversal of 416264442521 is 125244462614.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 81017652496 + 335246790025 = 284636^2 + 579005^2 .

It is a cyclic number.

It is not a de Polignac number, because 416264442521 - 2³⁰ = 415190700697 is a prime.

It is a super-2 number, since 2×416264442521² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41), and also a Moran number because the ratio is a prime number: 10152791281 = 416264442521 / (4 + 1 + 6 + 2 + 6 + 4 + 4 + 4 + 2 + 5 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416264442523) 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 3 ways as a sum of consecutive naturals, for example, 5076395600 + ... + 5076395681.

It is an arithmetic number, because the mean of its divisors is an integer number (106604308461).

Almost surely, 2^416264442521 is an apocalyptic number.

416264442521 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

416264442521 is a deficient number, since it is larger than the sum of its proper divisors (10152791323).

416264442521 is a wasteful number, since it uses less digits than its factorization.

416264442521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152791322.

The product of its digits is 368640, while the sum is 41.

The spelling of 416264442521 in words is "four hundred sixteen billion, two hundred sixty-four million, four hundred forty-two thousand, five hundred twenty-one".