4079448006400 has 162 divisors, whose sum is σ = 10933734467040. Its totient is φ = 1506257326080.

The previous prime is 4079448006397. The next prime is 4079448006401. The reversal of 4079448006400 is 46008449704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4079448006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 804240 + ... + 2967439.

Almost surely, 2^{4079448006400} is an apocalyptic number.

4079448006400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4079448006400 is an abundant number, since it is smaller than the sum of its proper divisors (6854286460640).

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

4079448006400 is a wasteful number, since it uses less digits than its factorization.

4079448006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771731 (or 3771699 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 4079448006400 in words is "four trillion, seventy-nine billion, four hundred forty-eight million, six thousand, four hundred".