4040133768 has 256 divisors, whose sum is σ = 12749184000. Its totient is φ = 1174694400.

The previous prime is 4040133749. The next prime is 4040133791. The reversal of 4040133768 is 8673310404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6526563 + ... + 6527181.

It is an arithmetic number, because the mean of its divisors is an integer number (49801500).

Almost surely, 2^4040133768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040133768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592000).

4040133768 is an abundant number, since it is smaller than the sum of its proper divisors (8709050232).

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

4040133768 is a wasteful number, since it uses less digits than its factorization.

4040133768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4040133768 is about 63562.0466001528. The cubic root of 4040133768 is about 1592.6924264583.

The spelling of 4040133768 in words is "four billion, forty million, one hundred thirty-three thousand, seven hundred sixty-eight".