409798912000 has 384 divisors, whose sum is σ = 1081803340800. Its totient is φ = 154632192000.

The previous prime is 409798911959. The next prime is 409798912009. The reversal of 409798912000 is 219897904.

It is not an unprimeable number, because it can be changed into a prime (409798912009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465151560 + ... + 465152440.

It is an arithmetic number, because the mean of its divisors is an integer number (2817196200).

Almost surely, 2^409798912000 is an apocalyptic number.

409798912000 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 409798912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540901670400).

409798912000 is an abundant number, since it is smaller than the sum of its proper divisors (672004428800).

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

409798912000 is an equidigital number, since it uses as much as digits as its factorization.

409798912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 409798912000 in words is "four hundred nine billion, seven hundred ninety-eight million, nine hundred twelve thousand".