7405221536000 has 144 divisors (see below), whose sum is σ = 18470143630848. Its totient is φ = 2958425856000.

The previous prime is 7405221535993. The next prime is 7405221536017. The reversal of 7405221536000 is 6351225047.

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, 25809329 + ... + 26094671.

Almost surely, 2^{7405221536000} 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 7405221536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235071815424).

7405221536000 is an abundant number, since it is smaller than the sum of its proper divisors (11064922094848).

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

7405221536000 is an equidigital number, since it uses as much as digits as its factorization.

7405221536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286185 (or 286161 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 7405221536000 in words is "seven trillion, four hundred five billion, two hundred twenty-one million, five hundred thirty-six thousand".