4111981440 has 256 divisors, whose sum is σ = 15079288320. Its totient is φ = 933617664.

The previous prime is 4111981429. The next prime is 4111981457. The reversal of 4111981440 is 441891114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189782 + ... + 2191658.

It is an arithmetic number, because the mean of its divisors is an integer number (58903470).

Almost surely, 2^4111981440 is an apocalyptic number.

4111981440 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 4111981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539644160).

4111981440 is an abundant number, since it is smaller than the sum of its proper divisors (10967306880).

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

4111981440 is a wasteful number, since it uses less digits than its factorization.

4111981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 4111981440 is about 64124.7334497384. The cubic root of 4111981440 is about 1602.0782161340.

The spelling of 4111981440 in words is "four billion, one hundred eleven million, nine hundred eighty-one thousand, four hundred forty".