7438825120 has 24 divisors (see below), whose sum is σ = 17574224724. Its totient is φ = 2975529984.

The previous prime is 7438825103. The next prime is 7438825129. The reversal of 7438825120 is 215288347.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6997657104 + 441168016 = 83652^2 + 21004^2 .

It is a super-2 number, since 2×7438825120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7438825129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23246169 + ... + 23246488.

Almost surely, 2^7438825120 is an apocalyptic number.

It is an amenable number.

7438825120 is an abundant number, since it is smaller than the sum of its proper divisors (10135399604).

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

7438825120 is a wasteful number, since it uses less digits than its factorization.

7438825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46492672 (or 46492664 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 7438825120 is about 86248.6238730799. The cubic root of 7438825120 is about 1952.0972500371.

The spelling of 7438825120 in words is "seven billion, four hundred thirty-eight million, eight hundred twenty-five thousand, one hundred twenty".