7442520120 has 192 divisors, whose sum is σ = 27701406720. Its totient is φ = 1697594112.

The previous prime is 7442520119. The next prime is 7442520139. The reversal of 7442520120 is 210252447.

It is a super-2 number, since 2×7442520120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315137 + ... + 1320783.

It is an arithmetic number, because the mean of its divisors is an integer number (144278160).

Almost surely, 2^7442520120 is an apocalyptic number.

7442520120 is a gapful number since it is divisible by the number (70) 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 7442520120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850703360).

7442520120 is an abundant number, since it is smaller than the sum of its proper divisors (20258886600).

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

7442520120 is a wasteful number, since it uses less digits than its factorization.

7442520120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 7442520120 is about 86270.0418453590. The cubic root of 7442520120 is about 1952.4204106292.

Adding to 7442520120 its reverse (210252447), we get a palindrome (7652772567).

The spelling of 7442520120 in words is "seven billion, four hundred forty-two million, five hundred twenty thousand, one hundred twenty".