4141474480 has 160 divisors (see below), whose sum is σ = 11576759040. Its totient is φ = 1357655040.

The previous prime is 4141474457. The next prime is 4141474501. The reversal of 4141474480 is 844741414.

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, 487711 + ... + 496129.

It is an arithmetic number, because the mean of its divisors is an integer number (72354744).

Almost surely, 2^4141474480 is an apocalyptic number.

4141474480 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 4141474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788379520).

4141474480 is an abundant number, since it is smaller than the sum of its proper divisors (7435284560).

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

4141474480 is a wasteful number, since it uses less digits than its factorization.

4141474480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 4141474480 is about 64354.2887459725. The cubic root of 4141474480 is about 1605.8993778545.

The spelling of 4141474480 in words is "four billion, one hundred forty-one million, four hundred seventy-four thousand, four hundred eighty".