7140114432 has 384 divisors, whose sum is σ = 23554851840. Its totient is φ = 2064384000.

The previous prime is 7140114407. The next prime is 7140114469. The reversal of 7140114432 is 2344110417.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 7140114396 and 7140114405.

It is a congruent number.

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, 100564957 + ... + 100565027.

It is an arithmetic number, because the mean of its divisors is an integer number (61340760).

Almost surely, 2^7140114432 is an apocalyptic number.

7140114432 is a gapful number since it is divisible by the number (72) 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 7140114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777425920).

7140114432 is an abundant number, since it is smaller than the sum of its proper divisors (16414737408).

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

7140114432 is a wasteful number, since it uses less digits than its factorization.

7140114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7140114432 is about 84499.1978186775. The cubic root of 7140114432 is about 1925.6102574762.

Adding to 7140114432 its reverse (2344110417), we get a palindrome (9484224849).

The spelling of 7140114432 in words is "seven billion, one hundred forty million, one hundred fourteen thousand, four hundred thirty-two".