405355104400 has 30 divisors (see below), whose sum is σ = 973865639282. Its totient is φ = 162142041600.

The previous prime is 405355104373. The next prime is 405355104443. The reversal of 405355104400 is 4401553504.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27380982784 + 377974121616 = 165472^2 + 614796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506693481 + ... + 506694280.

Almost surely, 2^405355104400 is an apocalyptic number.

405355104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405355104400 is an abundant number, since it is smaller than the sum of its proper divisors (568510534882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405355104400 is a wasteful number, since it uses less digits than its factorization.

405355104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013387779 (or 1013387768 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 405355104400 its reverse (4401553504), we get a palindrome (409756657904).

The spelling of 405355104400 in words is "four hundred five billion, three hundred fifty-five million, one hundred four thousand, four hundred".