7143829440 has 448 divisors, whose sum is σ = 26264494080. Its totient is φ = 1628098560.

The previous prime is 7143829423. The next prime is 7143829453. The reversal of 7143829440 is 449283417.

It is a junction number, because it is equal to n+sod(n) for n = 7143829392 and 7143829401.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16272741 + ... + 16273179.

Almost surely, 2^7143829440 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 7143829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132247040).

7143829440 is an abundant number, since it is smaller than the sum of its proper divisors (19120664640).

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

7143829440 is a wasteful number, since it uses less digits than its factorization.

7143829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 7143829440 is about 84521.1774645858. The cubic root of 7143829440 is about 1925.9441651586.

The spelling of 7143829440 in words is "seven billion, one hundred forty-three million, eight hundred twenty-nine thousand, four hundred forty".