405342072200 has 108 divisors (see below), whose sum is σ = 1020785409135. Its totient is φ = 149621546880.

The previous prime is 405342072197. The next prime is 405342072221. The reversal of 405342072200 is 2270243504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 25375852804 + 379966219396 = 159298^2 + 616414^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=450190.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117047669 + ... + 117051131.

Almost surely, 2^405342072200 is an apocalyptic number.

405342072200 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 405342072200

405342072200 is an abundant number, since it is smaller than the sum of its proper divisors (615443336935).

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

405342072200 is an equidigital number, since it uses as much as digits as its factorization.

405342072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The spelling of 405342072200 in words is "four hundred five billion, three hundred forty-two million, seventy-two thousand, two hundred".