4039778406400 has 351 divisors, whose sum is σ = 11030208643209. Its totient is φ = 1466437632000.

The previous prime is 4039778406331. The next prime is 4039778406409. The reversal of 4039778406400 is 46048779304.

The square root of 4039778406400 is 2009920.

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

It can be written as a sum of positive squares in only one way, i.e., 1454320226304 + 2585458180096 = 1205952^2 + 1607936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4039778406409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7074918115 + ... + 7074918685.

Almost surely, 2^{4039778406400} is an apocalyptic number.

4039778406400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4039778406400 is the 2009920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4039778406400

4039778406400 is an abundant number, since it is smaller than the sum of its proper divisors (6990430236809).

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

4039778406400 is an frugal number, since it uses more digits than its factorization.

4039778406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 4039778406400 in words is "four trillion, thirty-nine billion, seven hundred seventy-eight million, four hundred six thousand, four hundred".