4051658880 has 160 divisors (see below), whose sum is σ = 14469390540. Its totient is φ = 1080428544.

The previous prime is 4051658839. The next prime is 4051658881. The reversal of 4051658880 is 888561504.

4051658880 is a `hidden beast` number, since 4 + 0 + 516 + 58 + 8 + 80 = 666.

4051658880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3376074816 + 675584064 = 58104^2 + 25992^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×4051658880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4051658881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12762 + ... + 90918.

Almost surely, 2^4051658880 is an apocalyptic number.

4051658880 is a gapful number since it is divisible by the number (40) 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 4051658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234695270).

4051658880 is an abundant number, since it is smaller than the sum of its proper divisors (10417731660).

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

4051658880 is an equidigital number, since it uses as much as digits as its factorization.

4051658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78188 (or 78167 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 4051658880 is about 63652.6423646340. The cubic root of 4051658880 is about 1594.2054565416.

It can be divided in two parts, 405 and 1658880, that multiplied together give a square (671846400 = 25920²).

The spelling of 4051658880 in words is "four billion, fifty-one million, six hundred fifty-eight thousand, eight hundred eighty".