4181916480 has 224 divisors, whose sum is σ = 15213567744. Its totient is φ = 953401344.

The previous prime is 4181916469. The next prime is 4181916503. The reversal of 4181916480 is 846191814.

It is a happy number.

4181916480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4387684 + ... + 4388636.

Almost surely, 2^4181916480 is an apocalyptic number.

4181916480 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 4181916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606783872).

4181916480 is an abundant number, since it is smaller than the sum of its proper divisors (11031651264).

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

4181916480 is a wasteful number, since it uses less digits than its factorization.

4181916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 4181916480 is about 64667.7390976366. The cubic root of 4181916480 is about 1611.1097219207.

The spelling of 4181916480 in words is "four billion, one hundred eighty-one million, nine hundred sixteen thousand, four hundred eighty".