7452181440 has 560 divisors, whose sum is σ = 29475135360. Its totient is φ = 1771960320.

The previous prime is 7452181439. The next prime is 7452181459. The reversal of 7452181440 is 441812547.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7452181395 and 7452181404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16821859 + ... + 16822301.

Almost surely, 2^7452181440 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 7452181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737567680).

7452181440 is an abundant number, since it is smaller than the sum of its proper divisors (22022953920).

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

7452181440 is a wasteful number, since it uses less digits than its factorization.

7452181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7452181440 is about 86326.0183258790. The cubic root of 7452181440 is about 1953.2648737851.

Adding to 7452181440 its reverse (441812547), we get a palindrome (7893993987).

It can be divided in two parts, 74521 and 81440, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 7452181440 in words is "seven billion, four hundred fifty-two million, one hundred eighty-one thousand, four hundred forty".