409468020420 has 96 divisors (see below), whose sum is σ = 1183774233600. Its totient is φ = 105644206080.

The previous prime is 409468020359. The next prime is 409468020433. The reversal of 409468020420 is 24020864904.

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 31 ways as a sum of consecutive naturals, for example, 8623464 + ... + 8670816.

It is an arithmetic number, because the mean of its divisors is an integer number (12330981600).

Almost surely, 2^409468020420 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 409468020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591887116800).

409468020420 is an abundant number, since it is smaller than the sum of its proper divisors (774306213180).

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

409468020420 is a wasteful number, since it uses less digits than its factorization.

409468020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52045 (or 52043 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 409468020420 in words is "four hundred nine billion, four hundred sixty-eight million, twenty thousand, four hundred twenty".