405023144320 has 64 divisors (see below), whose sum is σ = 999492647040. Its totient is φ = 156783144960.

The previous prime is 405023144299. The next prime is 405023144347. The reversal of 405023144320 is 23441320504.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10187397 + ... + 10227076.

It is an arithmetic number, because the mean of its divisors is an integer number (15617072610).

Almost surely, 2^405023144320 is an apocalyptic number.

405023144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405023144320 is an abundant number, since it is smaller than the sum of its proper divisors (594469502720).

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

405023144320 is a wasteful number, since it uses less digits than its factorization.

405023144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20414523 (or 20414511 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 405023144320 its reverse (23441320504), we get a palindrome (428464464824).

The spelling of 405023144320 in words is "four hundred five billion, twenty-three million, one hundred forty-four thousand, three hundred twenty".