9018384661440 has 3024 divisors, whose sum is σ = 42525546964992. Its totient is φ = 1810626048000.

The previous prime is 9018384661387. The next prime is 9018384661457. The reversal of 9018384661440 is 441664838109.

9018384661440 is a `hidden beast` number, since 9 + 0 + 1 + 8 + 38 + 466 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 431 ways as a sum of consecutive naturals, for example, 14292209925 + ... + 14292210555.

Almost surely, 2^{9018384661440} is an apocalyptic number.

9018384661440 is a gapful number since it is divisible by the number (90) 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 9018384661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262773482496).

9018384661440 is an abundant number, since it is smaller than the sum of its proper divisors (33507162303552).

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

9018384661440 is a wasteful number, since it uses less digits than its factorization.

9018384661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 9018384661440 in words is "nine trillion, eighteen billion, three hundred eighty-four million, six hundred sixty-one thousand, four hundred forty".