18441959904 has 192 divisors, whose sum is σ = 54723513600. Its totient is φ = 6041350656.

The previous prime is 18441959867. The next prime is 18441959947. The reversal of 18441959904 is 40995914481.

18441959904 is a `hidden beast` number, since 1 + 8 + 4 + 41 + 9 + 599 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16421487 + ... + 16422609.

It is an arithmetic number, because the mean of its divisors is an integer number (285018300).

Almost surely, 2^18441959904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18441959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361756800).

18441959904 is an abundant number, since it is smaller than the sum of its proper divisors (36281553696).

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

18441959904 is a wasteful number, since it uses less digits than its factorization.

18441959904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 18441959904 in words is "eighteen billion, four hundred forty-one million, nine hundred fifty-nine thousand, nine hundred four".