12044457419904 has 1920 divisors, whose sum is σ = 46580354916480. Its totient is φ = 3021576929280.

The previous prime is 12044457419837. The next prime is 12044457419909. The reversal of 12044457419904 is 40991475444021.

12044457419904 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 445 + 7 + 4 + 199 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12044457419909) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21623801194 + ... + 21623801750.

It is an arithmetic number, because the mean of its divisors is an integer number (24260601519).

Almost surely, 2^{12044457419904} is an apocalyptic number.

12044457419904 is a gapful number since it is divisible by the number (14) 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 12044457419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23290177458240).

12044457419904 is an abundant number, since it is smaller than the sum of its proper divisors (34535897496576).

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

12044457419904 is a wasteful number, since it uses less digits than its factorization.

12044457419904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12044457419904 in words is "twelve trillion, forty-four billion, four hundred fifty-seven million, four hundred nineteen thousand, nine hundred four".