4040373936000 has 512 divisors, whose sum is σ = 14086717931520. Its totient is φ = 1022437785600.

The previous prime is 4040373935993. The next prime is 4040373936047. The reversal of 4040373936000 is 6393730404.

4040373936000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4040373936000.

It is a congruent number.

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, 140193592 + ... + 140222408.

It is an arithmetic number, because the mean of its divisors is an integer number (27513120960).

Almost surely, 2^{4040373936000} is an apocalyptic number.

4040373936000 is a gapful number since it is divisible by the number (40) 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 4040373936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043358965760).

4040373936000 is an abundant number, since it is smaller than the sum of its proper divisors (10046343995520).

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

4040373936000 is a wasteful number, since it uses less digits than its factorization.

4040373936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28999 (or 28977 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 4040373936000 in words is "four trillion, forty billion, three hundred seventy-three million, nine hundred thirty-six thousand".