401014305504 has 72 divisors (see below), whose sum is σ = 1141760725560. Its totient is φ = 133510111488.

The previous prime is 401014305487. The next prime is 401014305511. The reversal of 401014305504 is 405503410104.

It is a happy number.

401014305504 is a `hidden beast` number, since 4 + 0 + 10 + 143 + 0 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 601062 + ... + 1078565.

It is an arithmetic number, because the mean of its divisors is an integer number (15857787855).

Almost surely, 2^401014305504 is an apocalyptic number.

It is an amenable number.

401014305504 is an abundant number, since it is smaller than the sum of its proper divisors (740746420056).

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

401014305504 is a wasteful number, since it uses less digits than its factorization.

401014305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680472 (or 1680461 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 401014305504 its reverse (405503410104), we get a palindrome (806517715608).

The spelling of 401014305504 in words is "four hundred one billion, fourteen million, three hundred five thousand, five hundred four".