7409342144 has 56 divisors (see below), whose sum is σ = 15619018800. Its totient is φ = 3477427200.

The previous prime is 7409342111. The next prime is 7409342173. The reversal of 7409342144 is 4412439047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 7409342098 and 7409342107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104594 + ... + 160494.

It is an arithmetic number, because the mean of its divisors is an integer number (278911050).

Almost surely, 2^7409342144 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 7409342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809509400).

7409342144 is an abundant number, since it is smaller than the sum of its proper divisors (8209676656).

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

7409342144 is a wasteful number, since it uses less digits than its factorization.

7409342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56041 (or 56031 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 7409342144 is about 86077.5356524570. The cubic root of 7409342144 is about 1949.5148601582.

The spelling of 7409342144 in words is "seven billion, four hundred nine million, three hundred forty-two thousand, one hundred forty-four".