404012000213000 has 256 divisors, whose sum is σ = 978516227520000. Its totient is φ = 156013701350400.

The previous prime is 404012000212999. The next prime is 404012000213027. The reversal of 404012000213000 is 312000210404.

It is a super-2 number, since 2×404012000213000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 404012000213000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3194035757 + ... + 3194162243.

It is an arithmetic number, because the mean of its divisors is an integer number (3822329013750).

Almost surely, 2^{404012000213000} is an apocalyptic number.

404012000213000 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 404012000213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489258113760000).

404012000213000 is an abundant number, since it is smaller than the sum of its proper divisors (574504227307000).

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

404012000213000 is a wasteful number, since it uses less digits than its factorization.

404012000213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127217 (or 127203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 404012000213000 its reverse (312000210404), we get a palindrome (404324000423404).

The spelling of 404012000213000 in words is "four hundred four trillion, twelve billion, two hundred thirteen thousand".