405481631104 has 64 divisors (see below), whose sum is σ = 884102788800. Its totient is φ = 183709278720.

The previous prime is 405481631099. The next prime is 405481631141. The reversal of 405481631104 is 401136184504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36774 + ... + 901285.

It is an arithmetic number, because the mean of its divisors is an integer number (13814106075).

Almost surely, 2^405481631104 is an apocalyptic number.

405481631104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405481631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442051394400).

405481631104 is an abundant number, since it is smaller than the sum of its proper divisors (478621157696).

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

405481631104 is a wasteful number, since it uses less digits than its factorization.

405481631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938391 (or 938379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 405481631104 in words is "four hundred five billion, four hundred eighty-one million, six hundred thirty-one thousand, one hundred four".