404011020000 has 480 divisors, whose sum is σ = 1518998164992. Its totient is φ = 92074752000.

The previous prime is 404011019981. The next prime is 404011020001. The reversal of 404011020000 is 20110404.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404011020001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166738789 + ... + 166741211.

Almost surely, 2^404011020000 is an apocalyptic number.

404011020000 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 404011020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759499082496).

404011020000 is an abundant number, since it is smaller than the sum of its proper divisors (1114987144992).

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

404011020000 is a wasteful number, since it uses less digits than its factorization.

404011020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 404011020000 its reverse (20110404), we get a palindrome (404031130404).

The spelling of 404011020000 in words is "four hundred four billion, eleven million, twenty thousand".