4005399888 has 160 divisors (see below), whose sum is σ = 13563576320. Its totient is φ = 1107457920.

The previous prime is 4005399851. The next prime is 4005399889. The reversal of 4005399888 is 8889935004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005399889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72381 + ... + 115107.

It is an arithmetic number, because the mean of its divisors is an integer number (84772352).

Almost surely, 2^4005399888 is an apocalyptic number.

4005399888 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 4005399888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781788160).

4005399888 is an abundant number, since it is smaller than the sum of its proper divisors (9558176432).

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

4005399888 is a wasteful number, since it uses less digits than its factorization.

4005399888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42782 (or 42770 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4005399888 is about 63288.2286685289. The cubic root of 4005399888 is about 1588.1150464313.

The spelling of 4005399888 in words is "four billion, five million, three hundred ninety-nine thousand, eight hundred eighty-eight".