4119264480 has 96 divisors (see below), whose sum is σ = 13008649248. Its totient is φ = 1095680000.

The previous prime is 4119264437. The next prime is 4119264481. The reversal of 4119264480 is 844629114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119264481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181780 + ... + 203180.

It is an arithmetic number, because the mean of its divisors is an integer number (135506763).

Almost surely, 2^4119264480 is an apocalyptic number.

4119264480 is a gapful number since it is divisible by the number (40) 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 4119264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504324624).

4119264480 is an abundant number, since it is smaller than the sum of its proper divisors (8889384768).

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

4119264480 is a wasteful number, since it uses less digits than its factorization.

4119264480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21820 (or 21812 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4119264480 is about 64181.4963988843. The cubic root of 4119264480 is about 1603.0235120520.

The spelling of 4119264480 in words is "four billion, one hundred nineteen million, two hundred sixty-four thousand, four hundred eighty".