18610381440 has 768 divisors, whose sum is σ = 81914976000. Its totient is φ = 3790209024.

The previous prime is 18610381417. The next prime is 18610381441. The reversal of 18610381440 is 4418301681.

It is a happy number.

18610381440 is a `hidden beast` number, since 1 + 8 + 610 + 38 + 1 + 4 + 4 + 0 = 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 = 18610381395 and 18610381404.

It is not an unprimeable number, because it can be changed into a prime (18610381441) 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 95 ways as a sum of consecutive naturals, for example, 13022646 + ... + 13024074.

It is an arithmetic number, because the mean of its divisors is an integer number (106660125).

Almost surely, 2^18610381440 is an apocalyptic number.

18610381440 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 18610381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40957488000).

18610381440 is an abundant number, since it is smaller than the sum of its proper divisors (63304594560).

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

18610381440 is a wasteful number, since it uses less digits than its factorization.

18610381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1482 counting only the distinct ones).

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

The spelling of 18610381440 in words is "eighteen billion, six hundred ten million, three hundred eighty-one thousand, four hundred forty".