18414491040 has 288 divisors, whose sum is σ = 70765373952. Its totient is φ = 4320000000.

The previous prime is 18414491027. The next prime is 18414491047. The reversal of 18414491040 is 4019441481.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 18414490986 and 18414491004.

It is not an unprimeable number, because it can be changed into a prime (18414491047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472290 + ... + 509790.

It is an arithmetic number, because the mean of its divisors is an integer number (245713104).

Almost surely, 2^18414491040 is an apocalyptic number.

18414491040 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 18414491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35382686976).

18414491040 is an abundant number, since it is smaller than the sum of its proper divisors (52350882912).

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

18414491040 is a wasteful number, since it uses less digits than its factorization.

18414491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37564 (or 37553 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18414491040 in words is "eighteen billion, four hundred fourteen million, four hundred ninety-one thousand, forty".