10018382814720 has 960 divisors, whose sum is σ = 43203537653760. Its totient is φ = 2155185045504.

The previous prime is 10018382814697. The next prime is 10018382814721. The reversal of 10018382814720 is 2741828381001.

10018382814720 is a `hidden beast` number, since 10 + 0 + 18 + 3 + 82 + 81 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018382814721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139793937 + ... + 139865583.

It is an arithmetic number, because the mean of its divisors is an integer number (45003685056).

Almost surely, 2^{10018382814720} is an apocalyptic number.

10018382814720 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 10018382814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601768826880).

10018382814720 is an abundant number, since it is smaller than the sum of its proper divisors (33185154839040).

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

10018382814720 is an equidigital number, since it uses as much as digits as its factorization.

10018382814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71720 (or 71681 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 10018382814720 in words is "ten trillion, eighteen billion, three hundred eighty-two million, eight hundred fourteen thousand, seven hundred twenty".