4106528640 has 96 divisors (see below), whose sum is σ = 14180376600. Its totient is φ = 1095072768.

The previous prime is 4106528627. The next prime is 4106528651. The reversal of 4106528640 is 468256014.

4106528640 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 5 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4106528640² = 33727154942280499200, which contains 22 as substring.

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 = 4106528595 and 4106528604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350710 + ... + 362229.

Almost surely, 2^4106528640 is an apocalyptic number.

4106528640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4106528640 is an abundant number, since it is smaller than the sum of its proper divisors (10073847960).

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

4106528640 is a wasteful number, since it uses less digits than its factorization.

4106528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712964 (or 712949 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4106528640 is about 64082.2022093498. The cubic root of 4106528640 is about 1601.3697437084.

The spelling of 4106528640 in words is "four billion, one hundred six million, five hundred twenty-eight thousand, six hundred forty".