7242780240000 has 960 divisors, whose sum is σ = 28431527124000. Its totient is φ = 1829661696000.

The previous prime is 7242780239941. The next prime is 7242780240001. The reversal of 7242780240000 is 420872427.

7242780240000 is a `hidden beast` number, since 7 + 242 + 7 + 8 + 0 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (7242780240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 369350196 + ... + 369369804.

Almost surely, 2^{7242780240000} 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 7242780240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215763562000).

7242780240000 is an abundant number, since it is smaller than the sum of its proper divisors (21188746884000).

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

7242780240000 is an equidigital number, since it uses as much as digits as its factorization.

7242780240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 7242780240000 in words is "seven trillion, two hundred forty-two billion, seven hundred eighty million, two hundred forty thousand".