404406499200 has 768 divisors, whose sum is σ = 1571646551040. Its totient is φ = 90288947200.

The previous prime is 404406499177. The next prime is 404406499223. The reversal of 404406499200 is 2994604404.

It is an interprime number because it is at equal distance from previous prime (404406499177) and next prime (404406499223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84372004 + ... + 84376796.

It is an arithmetic number, because the mean of its divisors is an integer number (2046414780).

Almost surely, 2^404406499200 is an apocalyptic number.

404406499200 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 404406499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785823275520).

404406499200 is an abundant number, since it is smaller than the sum of its proper divisors (1167240051840).

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

404406499200 is a wasteful number, since it uses less digits than its factorization.

404406499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 404406499200 in words is "four hundred four billion, four hundred six million, four hundred ninety-nine thousand, two hundred".