7442220810240 has 1536 divisors, whose sum is σ = 28842916078080. Its totient is φ = 1766640844800.

The previous prime is 7442220810239. The next prime is 7442220810259. The reversal of 7442220810240 is 420180222447.

7442220810240 is a `hidden beast` number, since 7 + 4 + 422 + 208 + 1 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 7442220810195 and 7442220810204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47402680242 + ... + 47402680398.

It is an arithmetic number, because the mean of its divisors is an integer number (18777940155).

Almost surely, 2^{7442220810240} 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 7442220810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421458039040).

7442220810240 is an abundant number, since it is smaller than the sum of its proper divisors (21400695267840).

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

7442220810240 is a wasteful number, since it uses less digits than its factorization.

7442220810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 7442220810240 in words is "seven trillion, four hundred forty-two billion, two hundred twenty million, eight hundred ten thousand, two hundred forty".