405321241130240 has 36 divisors (see below), whose sum is σ = 970871035397844. Its totient is φ = 162128496451584.

The previous prime is 405321241130237. The next prime is 405321241130261. The reversal of 405321241130240 is 42031142123504.

It can be written as a sum of positive squares in 2 ways, for example, as 280877756510464 + 124443484619776 = 16759408^2 + 11155424^2 .

It is a super-2 number, since 2×405321241130240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 405321241130197 and 405321241130206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158328608537 + ... + 158328611096.

Almost surely, 2^{405321241130240} is an apocalyptic number.

405321241130240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405321241130240 is an abundant number, since it is smaller than the sum of its proper divisors (565549794267604).

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

405321241130240 is an equidigital number, since it uses as much as digits as its factorization.

405321241130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316657219654 (or 316657219640 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 405321241130240 its reverse (42031142123504), we get a palindrome (447352383253744).

The spelling of 405321241130240 in words is "four hundred five trillion, three hundred twenty-one billion, two hundred forty-one million, one hundred thirty thousand, two hundred forty".