4146227904 has 448 divisors, whose sum is σ = 14337792000. Its totient is φ = 1049481216.

The previous prime is 4146227893. The next prime is 4146227909. The reversal of 4146227904 is 4097226414.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4146227909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24827629 + ... + 24827795.

It is an arithmetic number, because the mean of its divisors is an integer number (32004000).

Almost surely, 2^4146227904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896000).

4146227904 is an abundant number, since it is smaller than the sum of its proper divisors (10191564096).

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

4146227904 is a wasteful number, since it uses less digits than its factorization.

4146227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4146227904 is about 64391.2098348835. The cubic root of 4146227904 is about 1606.5135393128.

The spelling of 4146227904 in words is "four billion, one hundred forty-six million, two hundred twenty-seven thousand, nine hundred four".