404407080000 has 1400 divisors, whose sum is σ = 1868797343424. Its totient is φ = 83980800000.

The previous prime is 404407079981. The next prime is 404407080013. The reversal of 404407080000 is 80704404.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 249479190 + ... + 249480810.

Almost surely, 2^404407080000 is an apocalyptic number.

404407080000 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 404407080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934398671712).

404407080000 is an abundant number, since it is smaller than the sum of its proper divisors (1464390263424).

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

404407080000 is a wasteful number, since it uses less digits than its factorization.

404407080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 404407080000 its reverse (80704404), we get a palindrome (404487784404).

The spelling of 404407080000 in words is "four hundred four billion, four hundred seven million, eighty thousand".