4039296040000 has 315 divisors, whose sum is σ = 10859929977963. Its totient is φ = 1489502976000.

The previous prime is 4039296039983. The next prime is 4039296040001. The reversal of 4039296040000 is 406929304.

The square root of 4039296040000 is 2009800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 517398244416 + 3521897795584 = 719304^2 + 1876672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4039296040001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5225479614 + ... + 5225480386.

Almost surely, 2^{4039296040000} is an apocalyptic number.

4039296040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4039296040000 is the 2009800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4039296040000

4039296040000 is an abundant number, since it is smaller than the sum of its proper divisors (6820633937963).

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

4039296040000 is an frugal number, since it uses more digits than its factorization.

4039296040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 4039296040000 in words is "four trillion, thirty-nine billion, two hundred ninety-six million, forty thousand".