18420333120000 has 2400 divisors, whose sum is σ = 80667190636032. Its totient is φ = 4107220992000.

The previous prime is 18420333119977. The next prime is 18420333120023. The reversal of 18420333120000 is 2133302481.

18420333120000 is a `hidden beast` number, since 1 + 8 + 420 + 3 + 3 + 31 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18420333119977) and next prime (18420333120023).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23405759607 + ... + 23405760393.

Almost surely, 2^{18420333120000} is an apocalyptic number.

18420333120000 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 18420333120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40333595318016).

18420333120000 is an abundant number, since it is smaller than the sum of its proper divisors (62246857516032).

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

18420333120000 is an frugal number, since it uses more digits than its factorization.

18420333120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 18420333120000 its reverse (2133302481), we get a palindrome (18422466422481).

The spelling of 18420333120000 in words is "eighteen trillion, four hundred twenty billion, three hundred thirty-three million, one hundred twenty thousand".