2014190442144 has 144 divisors (see below), whose sum is σ = 5848444117152. Its totient is φ = 657316068864.

The previous prime is 2014190442139. The next prime is 2014190442167. The reversal of 2014190442144 is 4412440914102.

2014190442144 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 190 + 4 + 421 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2014190442144² (a number of 25 digits) contains 22 as substring.

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 = 2014190442099 and 2014190442108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6987007 + ... + 7269569.

It is an arithmetic number, because the mean of its divisors is an integer number (40614195258).

Almost surely, 2^{2014190442144} is an apocalyptic number.

2014190442144 is a gapful number since it is divisible by the number (24) 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 2014190442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924222058576).

2014190442144 is an abundant number, since it is smaller than the sum of its proper divisors (3834253675008).

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

2014190442144 is a wasteful number, since it uses less digits than its factorization.

2014190442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283099 (or 283088 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2014190442144 in words is "two trillion, fourteen billion, one hundred ninety million, four hundred forty-two thousand, one hundred forty-four".