7412165840 has 80 divisors (see below), whose sum is σ = 18001526400. Its totient is φ = 2832969216.

The previous prime is 7412165837. The next prime is 7412165927. The reversal of 7412165840 is 485612147.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 7412165794 and 7412165803.

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 15 ways as a sum of consecutive naturals, for example, 2627951 + ... + 2630769.

It is an arithmetic number, because the mean of its divisors is an integer number (225019080).

Almost surely, 2^7412165840 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 7412165840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000763200).

7412165840 is an abundant number, since it is smaller than the sum of its proper divisors (10589360560).

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

7412165840 is a wasteful number, since it uses less digits than its factorization.

7412165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 7412165840 is about 86093.9361395447. The cubic root of 7412165840 is about 1949.7624816994.

Adding to 7412165840 its reverse (485612147), we get a palindrome (7897777987).

The spelling of 7412165840 in words is "seven billion, four hundred twelve million, one hundred sixty-five thousand, eight hundred forty".