10018207440000 has 1280 divisors, whose sum is σ = 39495782304000. Its totient is φ = 2490310656000.

The previous prime is 10018207439963. The next prime is 10018207440013. The reversal of 10018207440000 is 4470281001.

10018207440000 is a `hidden beast` number, since 1 + 0 + 0 + 18 + 207 + 440 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 4002478749 + ... + 4002481251.

It is an arithmetic number, because the mean of its divisors is an integer number (30856079925).

Almost surely, 2^{10018207440000} is an apocalyptic number.

10018207440000 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 10018207440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747891152000).

10018207440000 is an abundant number, since it is smaller than the sum of its proper divisors (29477574864000).

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

10018207440000 is a wasteful number, since it uses less digits than its factorization.

10018207440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10018207440000 in words is "ten trillion, eighteen billion, two hundred seven million, four hundred forty thousand".