4185135672 has 32 divisors (see below), whose sum is σ = 10660254480. Its totient is φ = 1368723200.

The previous prime is 4185135671. The next prime is 4185135673. The reversal of 4185135672 is 2765315814.

It is a happy number.

4185135672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4185135671) and next prime (4185135673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4185135671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1643829 + ... + 1646372.

Almost surely, 2^4185135672 is an apocalyptic number.

It is an amenable number.

4185135672 is an abundant number, since it is smaller than the sum of its proper divisors (6475118808).

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

4185135672 is a wasteful number, since it uses less digits than its factorization.

4185135672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290263 (or 3290259 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 4185135672 is about 64692.6245564361. The cubic root of 4185135672 is about 1611.5230205676.

The spelling of 4185135672 in words is "four billion, one hundred eighty-five million, one hundred thirty-five thousand, six hundred seventy-two".