4040733001536 has 1512 divisors, whose sum is σ = 15520590199296. Its totient is φ = 982485504000.

The previous prime is 4040733001531. The next prime is 4040733001549. The reversal of 4040733001536 is 6351003370404.

4040733001536 is a `hidden beast` number, since 404 + 0 + 73 + 30 + 0 + 153 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4040733001536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040733001531) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56911732381 + ... + 56911732451.

It is an arithmetic number, because the mean of its divisors is an integer number (10264940608).

Almost surely, 2^{4040733001536} 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 4040733001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760295099648).

4040733001536 is an abundant number, since it is smaller than the sum of its proper divisors (11479857197760).

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

4040733001536 is a wasteful number, since it uses less digits than its factorization.

4040733001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 4040733001536 in words is "four trillion, forty billion, seven hundred thirty-three million, one thousand, five hundred thirty-six".