18451319040 has 1296 divisors, whose sum is σ = 84139281408. Its totient is φ = 3649536000.

The previous prime is 18451318987. The next prime is 18451319111. The reversal of 18451319040 is 4091315481.

18451319040 is a `hidden beast` number, since 18 + 4 + 513 + 1 + 90 + 40 = 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 = 18451318986 and 18451319004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302480610 + ... + 302480670.

Almost surely, 2^18451319040 is an apocalyptic number.

18451319040 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 18451319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42069640704).

18451319040 is an abundant number, since it is smaller than the sum of its proper divisors (65687962368).

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

18451319040 is a wasteful number, since it uses less digits than its factorization.

18451319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18451319040 in words is "eighteen billion, four hundred fifty-one million, three hundred nineteen thousand, forty".