7041385728 has 216 divisors, whose sum is σ = 22676119648. Its totient is φ = 2166331392.

The previous prime is 7041385727. The next prime is 7041385777. The reversal of 7041385728 is 8275831407.

7041385728 is a `hidden beast` number, since 7 + 0 + 41 + 38 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×7041385728² = 99162225940964179968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7041385723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804351 + ... + 813057.

Almost surely, 2^7041385728 is an apocalyptic number.

7041385728 is a gapful number since it is divisible by the number (78) 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 7041385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11338059824).

7041385728 is an abundant number, since it is smaller than the sum of its proper divisors (15634733920).

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

7041385728 is an equidigital number, since it uses as much as digits as its factorization.

7041385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8725 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7041385728 is about 83912.9651960887. The cubic root of 7041385728 is about 1916.6936846635.

The spelling of 7041385728 in words is "seven billion, forty-one million, three hundred eighty-five thousand, seven hundred twenty-eight".