18401545440 has 384 divisors, whose sum is σ = 66847334400. Its totient is φ = 4722831360.

The previous prime is 18401545417. The next prime is 18401545447. The reversal of 18401545440 is 4454510481.

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 = 18401545395 and 18401545404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18401545447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41916741 + ... + 41917179.

It is an arithmetic number, because the mean of its divisors is an integer number (174081600).

Almost surely, 2^18401545440 is an apocalyptic number.

18401545440 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 18401545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33423667200).

18401545440 is an abundant number, since it is smaller than the sum of its proper divisors (48445788960).

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

18401545440 is a wasteful number, since it uses less digits than its factorization.

18401545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 18401545440 in words is "eighteen billion, four hundred one million, five hundred forty-five thousand, four hundred forty".