7114140144 has 160 divisors (see below), whose sum is σ = 21728609280. Its totient is φ = 2220825600.

The previous prime is 7114140119. The next prime is 7114140193. The reversal of 7114140144 is 4410414117.

It is a super-2 number, since 2×7114140144² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547289 + ... + 1551879.

It is an arithmetic number, because the mean of its divisors is an integer number (135803808).

Almost surely, 2^7114140144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7114140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864304640).

7114140144 is an abundant number, since it is smaller than the sum of its proper divisors (14614469136).

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

7114140144 is a wasteful number, since it uses less digits than its factorization.

7114140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4824 counting only the distinct ones).

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

The square root of 7114140144 is about 84345.3623147118. The cubic root of 7114140144 is about 1923.2724271544.

The spelling of 7114140144 in words is "seven billion, one hundred fourteen million, one hundred forty thousand, one hundred forty-four".