405221331441000 has 128 divisors (see below), whose sum is σ = 1264346260070400. Its totient is φ = 108054260524800.

The previous prime is 405221331440963. The next prime is 405221331441001. The reversal of 405221331441000 is 144133122504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (405221331441001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65384646 + ... + 71313354.

It is an arithmetic number, because the mean of its divisors is an integer number (9877705156800).

Almost surely, 2^{405221331441000} is an apocalyptic number.

405221331441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405221331441000 is an abundant number, since it is smaller than the sum of its proper divisors (859124928629400).

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

405221331441000 is a wasteful number, since it uses less digits than its factorization.

405221331441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951516 (or 5951502 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 405221331441000 its reverse (144133122504), we get a palindrome (405365464563504).

The spelling of 405221331441000 in words is "four hundred five trillion, two hundred twenty-one billion, three hundred thirty-one million, four hundred forty-one thousand".