18460049040 has 240 divisors, whose sum is σ = 65255281728. Its totient is φ = 4848864768.

The previous prime is 18460049039. The next prime is 18460049057. The reversal of 18460049040 is 4094006481.

It is a happy number.

18460049040 is a `hidden beast` number, since 1 + 8 + 4 + 600 + 4 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 18460048986 and 18460049004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1295394 + ... + 1309566.

Almost surely, 2^18460049040 is an apocalyptic number.

18460049040 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 18460049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32627640864).

18460049040 is an abundant number, since it is smaller than the sum of its proper divisors (46795232688).

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

18460049040 is a wasteful number, since it uses less digits than its factorization.

18460049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 1846004 and 9040, that added together give a square (1855044 = 1362²).

The spelling of 18460049040 in words is "eighteen billion, four hundred sixty million, forty-nine thousand, forty".