4011573888 has 384 divisors, whose sum is σ = 14114580480. Its totient is φ = 1068705792.

The previous prime is 4011573851. The next prime is 4011573889. The reversal of 4011573888 is 8883751104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4011573889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7975045 + ... + 7975547.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720).

Almost surely, 2^4011573888 is an apocalyptic number.

4011573888 is a gapful number since it is divisible by the number (48) 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 4011573888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057290240).

4011573888 is an abundant number, since it is smaller than the sum of its proper divisors (10103006592).

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

4011573888 is a wasteful number, since it uses less digits than its factorization.

4011573888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 4011573888 is about 63336.9867297143. The cubic root of 4011573888 is about 1588.9306111687.

It can be divided in two parts, 40115 and 73888, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 4011573888 in words is "four billion, eleven million, five hundred seventy-three thousand, eight hundred eighty-eight".