18126339840 has 576 divisors, whose sum is σ = 75915141120. Its totient is φ = 4007854080.

The previous prime is 18126339839. The next prime is 18126339919. The reversal of 18126339840 is 4893362181.

18126339840 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 633 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7498312 + ... + 7500728.

It is an arithmetic number, because the mean of its divisors is an integer number (131797120).

Almost surely, 2^18126339840 is an apocalyptic number.

18126339840 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 18126339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37957570560).

18126339840 is an abundant number, since it is smaller than the sum of its proper divisors (57788801280).

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

18126339840 is a wasteful number, since it uses less digits than its factorization.

18126339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 18126339840 in words is "eighteen billion, one hundred twenty-six million, three hundred thirty-nine thousand, eight hundred forty".