7530143040 has 336 divisors, whose sum is σ = 30558028800. Its totient is φ = 1665515520.

The previous prime is 7530142981. The next prime is 7530143041. The reversal of 7530143040 is 403410357.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 7530142995 and 7530143013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7530143041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618936 + ... + 630984.

Almost surely, 2^7530143040 is an apocalyptic number.

7530143040 is a gapful number since it is divisible by the number (70) 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 7530143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279014400).

7530143040 is an abundant number, since it is smaller than the sum of its proper divisors (23027885760).

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

7530143040 is a wasteful number, since it uses less digits than its factorization.

7530143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12110 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7530143040 is about 86776.3967908325. The cubic root of 7530143040 is about 1960.0526710821.

Adding to 7530143040 its reverse (403410357), we get a palindrome (7933553397).

It can be divided in two parts, 75301 and 43040, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 7530143040 in words is "seven billion, five hundred thirty million, one hundred forty-three thousand, forty".