405511203040 has 96 divisors (see below), whose sum is σ = 977055651936. Its totient is φ = 158999746560.

The previous prime is 405511203011. The next prime is 405511203059. The reversal of 405511203040 is 40302115504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 405511202996 and 405511203014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2788779 + ... + 2930581.

It is an arithmetic number, because the mean of its divisors is an integer number (10177663041).

Almost surely, 2^405511203040 is an apocalyptic number.

405511203040 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 405511203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488527825968).

405511203040 is an abundant number, since it is smaller than the sum of its proper divisors (571544448896).

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

405511203040 is a wasteful number, since it uses less digits than its factorization.

405511203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142172 (or 142164 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 405511203040 its reverse (40302115504), we get a palindrome (445813318544).

The spelling of 405511203040 in words is "four hundred five billion, five hundred eleven million, two hundred three thousand, forty".