4419160900 has 144 divisors (see below), whose sum is σ = 12211218432. Its totient is φ = 1347984000.

The previous prime is 4419160891. The next prime is 4419160901. The reversal of 4419160900 is 90619144.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4419160901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355795 + ... + 368005.

It is an arithmetic number, because the mean of its divisors is an integer number (84800128).

Almost surely, 2^4419160900 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 4419160900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105609216).

4419160900 is an abundant number, since it is smaller than the sum of its proper divisors (7792057532).

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

4419160900 is a wasteful number, since it uses less digits than its factorization.

4419160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12290 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 4419160900 is about 66476.7696266899. The cubic root of 4419160900 is about 1641.0177229584.

The spelling of 4419160900 in words is "four billion, four hundred nineteen million, one hundred sixty thousand, nine hundred".