4180149504 has 90 divisors (see below), whose sum is σ = 12464511290. Its totient is φ = 1393376256.

The previous prime is 4180149487. The next prime is 4180149509. The reversal of 4180149504 is 4059410814.

4180149504 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 149 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3485721600 + 694427904 = 59040^2 + 26352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4180149509) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80059 + ... + 121530.

Almost surely, 2^4180149504 is an apocalyptic number.

It is an amenable number.

4180149504 is an abundant number, since it is smaller than the sum of its proper divisors (8284361786).

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

4180149504 is an equidigital number, since it uses as much as digits as its factorization.

4180149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201617 (or 201594 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4180149504 is about 64654.0756951950. The cubic root of 4180149504 is about 1610.8827770682.

The spelling of 4180149504 in words is "four billion, one hundred eighty million, one hundred forty-nine thousand, five hundred four".