18120481021440 has 1600 divisors, whose sum is σ = 79282215327744. Its totient is φ = 3861193162752.

The previous prime is 18120481021427. The next prime is 18120481021451. The reversal of 18120481021440 is 4412018402181.

It is a happy number.

18120481021440 is a `hidden beast` number, since 1 + 8 + 1 + 204 + 8 + 1 + 0 + 2 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18120481021395 and 18120481021404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2640311449 + ... + 2640318311.

Almost surely, 2^{18120481021440} is an apocalyptic number.

18120481021440 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 18120481021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39641107663872).

18120481021440 is an abundant number, since it is smaller than the sum of its proper divisors (61161734306304).

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

18120481021440 is a wasteful number, since it uses less digits than its factorization.

18120481021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 18120481021440 in words is "eighteen trillion, one hundred twenty billion, four hundred eighty-one million, twenty-one thousand, four hundred forty".