405565380000 has 900 divisors, whose sum is σ = 1639075429530. Its totient is φ = 98271360000.

The previous prime is 405565379977. The next prime is 405565380013. The reversal of 405565380000 is 83565504.

It can be written as a sum of positive squares in 5 ways, for example, as 2609575056 + 402955804944 = 51084^2 + 634788^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 149 ways as a sum of consecutive naturals, for example, 196018966 + ... + 196021034.

Almost surely, 2^405565380000 is an apocalyptic number.

405565380000 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 405565380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819537714765).

405565380000 is an abundant number, since it is smaller than the sum of its proper divisors (1233510049530).

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

405565380000 is a wasteful number, since it uses less digits than its factorization.

405565380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 405565380000 in words is "four hundred five billion, five hundred sixty-five million, three hundred eighty thousand".