7105825440 has 432 divisors, whose sum is σ = 28806890112. Its totient is φ = 1622509056.

The previous prime is 7105825439. The next prime is 7105825481. The reversal of 7105825440 is 445285017.

7105825440 is a `hidden beast` number, since 7 + 105 + 8 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 7105825395 and 7105825404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7347837 + ... + 7348803.

It is an arithmetic number, because the mean of its divisors is an integer number (66682616).

Almost surely, 2^7105825440 is an apocalyptic number.

7105825440 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 7105825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403445056).

7105825440 is an abundant number, since it is smaller than the sum of its proper divisors (21701064672).

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

7105825440 is an frugal number, since it uses more digits than its factorization.

7105825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 7105825440 is about 84296.0582708349. The cubic root of 7105825440 is about 1922.5228554233.

The spelling of 7105825440 in words is "seven billion, one hundred five million, eight hundred twenty-five thousand, four hundred forty".