4419131904 has 240 divisors, whose sum is σ = 14433138720. Its totient is φ = 1338716160.

The previous prime is 4419131903. The next prime is 4419131921. The reversal of 4419131904 is 4091319144.

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

It is not an unprimeable number, because it can be changed into a prime (4419131903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366962 + ... + 1370190.

It is an arithmetic number, because the mean of its divisors is an integer number (60138078).

Almost surely, 2^4419131904 is an apocalyptic number.

4419131904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4419131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216569360).

4419131904 is an abundant number, since it is smaller than the sum of its proper divisors (10014006816).

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

4419131904 is an equidigital number, since it uses as much as digits as its factorization.

4419131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4419131904 is about 66476.5515351090. The cubic root of 4419131904 is about 1641.0141338114.

The spelling of 4419131904 in words is "four billion, four hundred nineteen million, one hundred thirty-one thousand, nine hundred four".