404625545526404 has 24 divisors (see below), whose sum is σ = 709431684288600. Its totient is φ = 201930871345920.

The previous prime is 404625545526361. The next prime is 404625545526407.

404625545526404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 59214102304900 + 345411443221504 = 7695070^2 + 18585248^2 .

It is a super-2 number, since 2×404625545526404² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404625545526404.

It is not an unprimeable number, because it can be changed into a prime (404625545526407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5863874 + ... + 29045414.

It is an arithmetic number, because the mean of its divisors is an integer number (29559653512025).

Almost surely, 2^{404625545526404} is an apocalyptic number.

It is an amenable number.

404625545526404 is a deficient number, since it is larger than the sum of its proper divisors (304806138762196).

404625545526404 is a wasteful number, since it uses less digits than its factorization.

404625545526404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23189783 (or 23189781 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 56.

The spelling of 404625545526404 in words is "four hundred four trillion, six hundred twenty-five billion, five hundred forty-five million, five hundred twenty-six thousand, four hundred four".