18771611040 has 576 divisors, whose sum is σ = 81401628672. Its totient is φ = 3832012800.

The previous prime is 18771611003. The next prime is 18771611063. The reversal of 18771611040 is 4011617781.

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 = 18771610986 and 18771611004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059930 + ... + 4064550.

It is an arithmetic number, because the mean of its divisors is an integer number (141322272).

Almost surely, 2^18771611040 is an apocalyptic number.

18771611040 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 18771611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40700814336).

18771611040 is an abundant number, since it is smaller than the sum of its proper divisors (62630017632).

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

18771611040 is a wasteful number, since it uses less digits than its factorization.

18771611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 18771611040 in words is "eighteen billion, seven hundred seventy-one million, six hundred eleven thousand, forty".