1014040244160 has 672 divisors, whose sum is σ = 3729370305024. Its totient is φ = 262144512000.

The previous prime is 1014040244143. The next prime is 1014040244167. The reversal of 1014040244160 is 614420404101.

1014040244160 is a `hidden beast` number, since 1 + 0 + 1 + 404 + 0 + 244 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014040244167) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 336777055 + ... + 336780065.

It is an arithmetic number, because the mean of its divisors is an integer number (5549658192).

Almost surely, 2^{1014040244160} is an apocalyptic number.

1014040244160 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 1014040244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864685152512).

1014040244160 is an abundant number, since it is smaller than the sum of its proper divisors (2715330060864).

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

1014040244160 is an equidigital number, since it uses as much as digits as its factorization.

1014040244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1014040244160 its reverse (614420404101), we get a palindrome (1628460648261).

The spelling of 1014040244160 in words is "one trillion, fourteen billion, forty million, two hundred forty-four thousand, one hundred sixty".