4011439680 has 448 divisors, whose sum is σ = 15484815360. Its totient is φ = 973209600.

The previous prime is 4011439669. The next prime is 4011439681. The reversal of 4011439680 is 869341104.

4011439680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4011439681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4552840 + ... + 4553720.

It is an arithmetic number, because the mean of its divisors is an integer number (34564320).

Almost surely, 2^4011439680 is an apocalyptic number.

4011439680 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 4011439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742407680).

4011439680 is an abundant number, since it is smaller than the sum of its proper divisors (11473375680).

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

4011439680 is a wasteful number, since it uses less digits than its factorization.

4011439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4011439680 is about 63335.9272451268. The cubic root of 4011439680 is about 1588.9128916415.

The spelling of 4011439680 in words is "four billion, eleven million, four hundred thirty-nine thousand, six hundred eighty".