405481185000 has 960 divisors, whose sum is σ = 1519782264000. Its totient is φ = 97251840000.

The previous prime is 405481184989. The next prime is 405481185049. The reversal of 405481185000 is 581184504.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 1507364866 + ... + 1507365134.

It is an arithmetic number, because the mean of its divisors is an integer number (1583106525).

Almost surely, 2^405481185000 is an apocalyptic number.

405481185000 is a gapful number since it is divisible by the number (40) 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 405481185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759891132000).

405481185000 is an abundant number, since it is smaller than the sum of its proper divisors (1114301079000).

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

405481185000 is a wasteful number, since it uses less digits than its factorization.

405481185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 405481185000 in words is "four hundred five billion, four hundred eighty-one million, one hundred eighty-five thousand".