405420344400 has 60 divisors (see below), whose sum is σ = 1298696507072. Its totient is φ = 108112091520.

The previous prime is 405420344377. The next prime is 405420344443. The reversal of 405420344400 is 4443024504.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×405420344400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168923944 + ... + 168926343.

Almost surely, 2^405420344400 is an apocalyptic number.

405420344400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405420344400 is an abundant number, since it is smaller than the sum of its proper divisors (893276162672).

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

405420344400 is a wasteful number, since it uses less digits than its factorization.

405420344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337850308 (or 337850297 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 405420344400 its reverse (4443024504), we get a palindrome (409863368904).

The spelling of 405420344400 in words is "four hundred five billion, four hundred twenty million, three hundred forty-four thousand, four hundred".