7442934117552 has 240 divisors, whose sum is σ = 22602899676000. Its totient is φ = 2344633454592.

The previous prime is 7442934117497. The next prime is 7442934117599. The reversal of 7442934117552 is 2557114392447.

7442934117552 is a `hidden beast` number, since 7 + 4 + 42 + 9 + 3 + 41 + 1 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63726024 + ... + 63842712.

It is an arithmetic number, because the mean of its divisors is an integer number (94178748650).

Almost surely, 2^{7442934117552} is an apocalyptic number.

7442934117552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7442934117552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301449838000).

7442934117552 is an abundant number, since it is smaller than the sum of its proper divisors (15159965558448).

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

7442934117552 is a wasteful number, since it uses less digits than its factorization.

7442934117552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117153 (or 117122 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 7442934117552 in words is "seven trillion, four hundred forty-two billion, nine hundred thirty-four million, one hundred seventeen thousand, five hundred fifty-two".