7140243456 has 144 divisors (see below), whose sum is σ = 20828087280. Its totient is φ = 2356346880.

The previous prime is 7140243449. The next prime is 7140243503. The reversal of 7140243456 is 6543420417.

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

It is a super-2 number, since 2×7140243456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7140243456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896616 + ... + 1900376.

It is an arithmetic number, because the mean of its divisors is an integer number (144639495).

Almost surely, 2^7140243456 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 7140243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414043640).

7140243456 is an abundant number, since it is smaller than the sum of its proper divisors (13687843824).

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

7140243456 is a wasteful number, since it uses less digits than its factorization.

7140243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7140243456 is about 84499.9612780976. The cubic root of 7140243456 is about 1925.6218561905.

The spelling of 7140243456 in words is "seven billion, one hundred forty million, two hundred forty-three thousand, four hundred fifty-six".