7399994822400 has 432 divisors, whose sum is σ = 25225433468928. Its totient is φ = 1908455424000.

The previous prime is 7399994822359. The next prime is 7399994822401. The reversal of 7399994822400 is 42284999937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7399994822401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1274320297 + ... + 1274326103.

It is an arithmetic number, because the mean of its divisors is an integer number (58392207104).

Almost surely, 2^{7399994822400} 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 7399994822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612716734464).

7399994822400 is an abundant number, since it is smaller than the sum of its proper divisors (17825438646528).

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

7399994822400 is a wasteful number, since it uses less digits than its factorization.

7399994822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 7399994822400 in words is "seven trillion, three hundred ninety-nine billion, nine hundred ninety-four million, eight hundred twenty-two thousand, four hundred".