405441215460 has 432 divisors, whose sum is σ = 1322346392640. Its totient is φ = 100525017600.

The previous prime is 405441215429. The next prime is 405441215489. The reversal of 405441215460 is 64512144504.

405441215460 is a `hidden beast` number, since 4 + 0 + 5 + 441 + 2 + 154 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1069765551 + ... + 1069765929.

It is an arithmetic number, because the mean of its divisors is an integer number (3060987020).

Almost surely, 2^405441215460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405441215460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661173196320).

405441215460 is an abundant number, since it is smaller than the sum of its proper divisors (916905177180).

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

405441215460 is a wasteful number, since it uses less digits than its factorization.

405441215460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 405441215460 its reverse (64512144504), we get a palindrome (469953359964).

The spelling of 405441215460 in words is "four hundred five billion, four hundred forty-one million, two hundred fifteen thousand, four hundred sixty".