4718825406 has 24 divisors (see below), whose sum is σ = 10668649680. Its totient is φ = 1504552896.

The previous prime is 4718825401. The next prime is 4718825431. The reversal of 4718825406 is 6045288174.

4718825406 is a `hidden beast` number, since 47 + 188 + 25 + 406 = 666.

It is a super-2 number, since 2×4718825406² = 44534626424622129672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4718825401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5698651 + ... + 5699478.

It is an arithmetic number, because the mean of its divisors is an integer number (444527070).

Almost surely, 2^4718825406 is an apocalyptic number.

4718825406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4718825406 is an abundant number, since it is smaller than the sum of its proper divisors (5949824274).

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

4718825406 is a wasteful number, since it uses less digits than its factorization.

4718825406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398160 (or 11398157 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4718825406 is about 68693.7071790422. The cubic root of 4718825406 is about 1677.3021473990.

The spelling of 4718825406 in words is "four billion, seven hundred eighteen million, eight hundred twenty-five thousand, four hundred six".