10404112341000 has 256 divisors, whose sum is σ = 37286422018560. Its totient is φ = 2366010393600.

The previous prime is 10404112340989. The next prime is 10404112341031. The reversal of 10404112341000 is 14321140401.

It is a super-3 number, since 3×10404112341000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2879554 + ... + 5394446.

It is an arithmetic number, because the mean of its divisors is an integer number (145650086010).

Almost surely, 2^{10404112341000} is an apocalyptic number.

10404112341000 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 10404112341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643211009280).

10404112341000 is an abundant number, since it is smaller than the sum of its proper divisors (26882309677560).

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

10404112341000 is a wasteful number, since it uses less digits than its factorization.

10404112341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515121 (or 2515107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10404112341000 its reverse (14321140401), we get a palindrome (10418433481401).

The spelling of 10404112341000 in words is "ten trillion, four hundred four billion, one hundred twelve million, three hundred forty-one thousand".