10404412000 has 96 divisors (see below), whose sum is σ = 25596514944. Its totient is φ = 4156416000.

The previous prime is 10404411971. The next prime is 10404412037. The reversal of 10404412000 is 21440401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4922944 + ... + 4925056.

It is an arithmetic number, because the mean of its divisors is an integer number (266630364).

Almost surely, 2^10404412000 is an apocalyptic number.

10404412000 is a gapful number since it is divisible by the number (10) 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 10404412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798257472).

10404412000 is an abundant number, since it is smaller than the sum of its proper divisors (15192102944).

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

10404412000 is a wasteful number, since it uses less digits than its factorization.

10404412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10404412000 its reverse (21440401), we get a palindrome (10425852401).

It can be divided in two parts, 1040441 and 2000, that added together give a square (1042441 = 1021²).

The spelling of 10404412000 in words is "ten billion, four hundred four million, four hundred twelve thousand".