401633905645 has 16 divisors (see below), whose sum is σ = 551731795200. Its totient is φ = 274946315904.

The previous prime is 401633905627. The next prime is 401633905661. The reversal of 401633905645 is 546509336104.

It is a cyclic number.

It is not a de Polignac number, because 401633905645 - 2²³ = 401625517037 is a prime.

It is a super-3 number, since 3×401633905645³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 401633905595 and 401633905604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9557712 + ... + 9599641.

It is an arithmetic number, because the mean of its divisors is an integer number (34483237200).

Almost surely, 2^401633905645 is an apocalyptic number.

It is an amenable number.

401633905645 is a deficient number, since it is larger than the sum of its proper divisors (150097889555).

401633905645 is a wasteful number, since it uses less digits than its factorization.

401633905645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19157964.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 401633905645 in words is "four hundred one billion, six hundred thirty-three million, nine hundred five thousand, six hundred forty-five".