4040136288 has 144 divisors (see below), whose sum is σ = 12265344000. Its totient is φ = 1257742080.

The previous prime is 4040136263. The next prime is 4040136293. The reversal of 4040136288 is 8826310404.

4040136288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4040136288² = 32645402451228837888, 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 23 ways as a sum of consecutive naturals, for example, 383313 + ... + 393711.

It is an arithmetic number, because the mean of its divisors is an integer number (85176000).

Almost surely, 2^4040136288 is an apocalyptic number.

4040136288 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 4040136288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

4040136288 is an abundant number, since it is smaller than the sum of its proper divisors (8225207712).

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

4040136288 is a wasteful number, since it uses less digits than its factorization.

4040136288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4040136288 is about 63562.0664233000. The cubic root of 4040136288 is about 1592.6927576012.

The spelling of 4040136288 in words is "four billion, forty million, one hundred thirty-six thousand, two hundred eighty-eight".