7442112638688 has 192 divisors, whose sum is σ = 24693580638720. Its totient is φ = 1909707466752.

The previous prime is 7442112638683. The next prime is 7442112638693. The reversal of 7442112638688 is 8868362112447.

It is an interprime number because it is at equal distance from previous prime (7442112638683) and next prime (7442112638693).

It is a super-2 number, since 2×7442112638688² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7442112638683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11188798 + ... + 11835261.

It is an arithmetic number, because the mean of its divisors is an integer number (128612399160).

Almost surely, 2^{7442112638688} is an apocalyptic number.

7442112638688 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7442112638688 is an abundant number, since it is smaller than the sum of its proper divisors (17251468000032).

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

7442112638688 is a wasteful number, since it uses less digits than its factorization.

7442112638688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23024129 (or 23024121 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 7442112638688 in words is "seven trillion, four hundred forty-two billion, one hundred twelve million, six hundred thirty-eight thousand, six hundred eighty-eight".