404505254342401 has 8 divisors (see below), whose sum is σ = 404564596175520. Its totient is φ = 404445915907488.

The previous prime is 404505254342347. The next prime is 404505254342467. The reversal of 404505254342401 is 104243452505404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404505254342401 - 2²³ = 404505245953793 is a prime.

It is a super-2 number, since 2×404505254342401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404505254342701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242321830 + ... + 243985408.

It is an arithmetic number, because the mean of its divisors is an integer number (50570574521940).

Almost surely, 2^{404505254342401} is an apocalyptic number.

It is an amenable number.

404505254342401 is a deficient number, since it is larger than the sum of its proper divisors (59341833119).

404505254342401 is a wasteful number, since it uses less digits than its factorization.

404505254342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699103.

The product of its (nonzero) digits is 1536000, while the sum is 43.

The spelling of 404505254342401 in words is "four hundred four trillion, five hundred five billion, two hundred fifty-four million, three hundred forty-two thousand, four hundred one".