4138366080000 has 880 divisors, whose sum is σ = 14851553181696. Its totient is φ = 1021194240000.

The previous prime is 4138366079989. The next prime is 4138366080001. The reversal of 4138366080000 is 806638314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138366080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1368958489 + ... + 1368961511.

Almost surely, 2^{4138366080000} is an apocalyptic number.

4138366080000 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 4138366080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425776590848).

4138366080000 is an abundant number, since it is smaller than the sum of its proper divisors (10713187101696).

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

4138366080000 is a wasteful number, since it uses less digits than its factorization.

4138366080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 4138366080000 in words is "four trillion, one hundred thirty-eight billion, three hundred sixty-six million, eighty thousand".