7412380416 has 288 divisors, whose sum is σ = 25195161600. Its totient is φ = 2105671680.

The previous prime is 7412380403. The next prime is 7412380433. The reversal of 7412380416 is 6140832147.

7412380416 is a `hidden beast` number, since 7 + 4 + 1 + 238 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11563456 + ... + 11564096.

It is an arithmetic number, because the mean of its divisors is an integer number (87483200).

Almost surely, 2^7412380416 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 7412380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597580800).

7412380416 is an abundant number, since it is smaller than the sum of its proper divisors (17782781184).

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

7412380416 is a wasteful number, since it uses less digits than its factorization.

7412380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7412380416 is about 86095.1823042381. The cubic root of 7412380416 is about 1949.7812961821.

The spelling of 7412380416 in words is "seven billion, four hundred twelve million, three hundred eighty thousand, four hundred sixteen".