18040825958400 has 1170 divisors, whose sum is σ = 77739902351430. Its totient is φ = 4123524464640.

The previous prime is 18040825958303. The next prime is 18040825958401. The reversal of 18040825958400 is 485952804081.

18040825958400 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 0 + 8 + 2 + 59 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5134683488256 + 12906142470144 = 2265984^2 + 3592512^2 .

It is a super-2 number, since 2×18040825958400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18040825958401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 406403406 + ... + 406447794.

Almost surely, 2^{18040825958400} is an apocalyptic number.

18040825958400 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 18040825958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38869951175715).

18040825958400 is an abundant number, since it is smaller than the sum of its proper divisors (59699076393030).

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

18040825958400 is an equidigital number, since it uses as much as digits as its factorization.

18040825958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44449 (or 44406 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 18040825958400 in words is "eighteen trillion, forty billion, eight hundred twenty-five million, nine hundred fifty-eight thousand, four hundred".