404134080331800 has 768 divisors, whose sum is σ = 1545424296514560. Its totient is φ = 85074625658880.

The previous prime is 404134080331771. The next prime is 404134080331867. The reversal of 404134080331800 is 8133080431404.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110028334764 + ... + 110028338436.

It is an arithmetic number, because the mean of its divisors is an integer number (2012271219420).

Almost surely, 2^{404134080331800} is an apocalyptic number.

404134080331800 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 404134080331800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772712148257280).

404134080331800 is an abundant number, since it is smaller than the sum of its proper divisors (1141290216182760).

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

404134080331800 is a wasteful number, since it uses less digits than its factorization.

404134080331800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7723 counting only the distinct ones).

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

The spelling of 404134080331800 in words is "four hundred four trillion, one hundred thirty-four billion, eighty million, three hundred thirty-one thousand, eight hundred".