18402045661440 has 1152 divisors, whose sum is σ = 76146190955520. Its totient is φ = 4121517883392.

The previous prime is 18402045661427. The next prime is 18402045661501. The reversal of 18402045661440 is 4416654020481.

18402045661440 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 20 + 4 + 5 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 2772641802 + ... + 2772648438.

Almost surely, 2^{18402045661440} is an apocalyptic number.

18402045661440 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 18402045661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38073095477760).

18402045661440 is an abundant number, since it is smaller than the sum of its proper divisors (57744145294080).

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

18402045661440 is a wasteful number, since it uses less digits than its factorization.

18402045661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 18402045661440 in words is "eighteen trillion, four hundred two billion, forty-five million, six hundred sixty-one thousand, four hundred forty".