18404160000 has 400 divisors, whose sum is σ = 64556210400. Its totient is φ = 4644864000.

The previous prime is 18404159989. The next prime is 18404160007. The reversal of 18404160000 is 6140481.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×18404160000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (18404160007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18239496 + ... + 18240504.

It is an arithmetic number, because the mean of its divisors is an integer number (161390526).

Almost surely, 2^18404160000 is an apocalyptic number.

18404160000 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 18404160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32278105200).

18404160000 is an abundant number, since it is smaller than the sum of its proper divisors (46152050400).

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

18404160000 is an equidigital number, since it uses as much as digits as its factorization.

18404160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 18404160000 in words is "eighteen billion, four hundred four million, one hundred sixty thousand".