405144001320 has 384 divisors, whose sum is σ = 1282869705600. Its totient is φ = 102289594368.

The previous prime is 405144001219. The next prime is 405144001349. The reversal of 405144001320 is 23100441504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2341872754 + ... + 2341872926.

It is an arithmetic number, because the mean of its divisors is an integer number (3340806525).

Almost surely, 2^405144001320 is an apocalyptic number.

405144001320 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 405144001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641434852800).

405144001320 is an abundant number, since it is smaller than the sum of its proper divisors (877725704280).

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

405144001320 is a wasteful number, since it uses less digits than its factorization.

405144001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 405144001320 its reverse (23100441504), we get a palindrome (428244442824).

The spelling of 405144001320 in words is "four hundred five billion, one hundred forty-four million, one thousand, three hundred twenty".