7408114308672 has 1792 divisors, whose sum is σ = 28333068779520. Its totient is φ = 1649407795200.

The previous prime is 7408114308593. The next prime is 7408114308677. The reversal of 7408114308672 is 2768034118047.

It is a super-2 number, since 2×7408114308672² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7408114308677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9413105463 + ... + 9413106249.

Almost surely, 2^{7408114308672} 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 7408114308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166534389760).

7408114308672 is an abundant number, since it is smaller than the sum of its proper divisors (20924954470848).

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

7408114308672 is a wasteful number, since it uses less digits than its factorization.

7408114308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 7408114308672 in words is "seven trillion, four hundred eight billion, one hundred fourteen million, three hundred eight thousand, six hundred seventy-two".