4041434880 has 432 divisors, whose sum is σ = 16682964480. Its totient is φ = 883187712.

The previous prime is 4041434797. The next prime is 4041434899. The reversal of 4041434880 is 884341404.

It is a super-2 number, since 2×4041434880² = 32666391778561228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853631 + ... + 1855809.

Almost surely, 2^4041434880 is an apocalyptic number.

4041434880 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 4041434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341482240).

4041434880 is an abundant number, since it is smaller than the sum of its proper divisors (12641529600).

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

4041434880 is a wasteful number, since it uses less digits than its factorization.

4041434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4041434880 is about 63572.2807519126. The cubic root of 4041434880 is about 1592.8633819209.

The spelling of 4041434880 in words is "four billion, forty-one million, four hundred thirty-four thousand, eight hundred eighty".