4131784608 has 48 divisors (see below), whose sum is σ = 12395355840. Its totient is φ = 1180509696.

The previous prime is 4131784603. The next prime is 4131784619. The reversal of 4131784608 is 8064871314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4131784608.

It is not an unprimeable number, because it can be changed into a prime (4131784603) 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, 3073573 + ... + 3074916.

It is an arithmetic number, because the mean of its divisors is an integer number (258236580).

Almost surely, 2^4131784608 is an apocalyptic number.

4131784608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4131784608 is an abundant number, since it is smaller than the sum of its proper divisors (8263571232).

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

4131784608 is a wasteful number, since it uses less digits than its factorization.

4131784608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148509 (or 6148501 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4131784608 is about 64278.9592946246. The cubic root of 4131784608 is about 1604.6459505736.

The spelling of 4131784608 in words is "four billion, one hundred thirty-one million, seven hundred eighty-four thousand, six hundred eight".