410855313420 has 240 divisors, whose sum is σ = 1346149838880. Its totient is φ = 104792610816.

The previous prime is 410855313409. The next prime is 410855313551. The reversal of 410855313420 is 24313558014.

410855313420 is a `hidden beast` number, since 4 + 1 + 0 + 85 + 531 + 3 + 42 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3478372 + ... + 3594548.

It is an arithmetic number, because the mean of its divisors is an integer number (5608957662).

Almost surely, 2^410855313420 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 410855313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673074919440).

410855313420 is an abundant number, since it is smaller than the sum of its proper divisors (935294525460).

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

410855313420 is a wasteful number, since it uses less digits than its factorization.

410855313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116294 (or 116283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 410855313420 in words is "four hundred ten billion, eight hundred fifty-five million, three hundred thirteen thousand, four hundred twenty".