4049965171200 has 240 divisors, whose sum is σ = 14407947582336. Its totient is φ = 996914380800.

The previous prime is 4049965171181. The next prime is 4049965171207. The reversal of 4049965171200 is 21715699404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4049965171200.

It is not an unprimeable number, because it can be changed into a prime (4049965171207) 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 23 ways as a sum of consecutive naturals, for example, 3557256 + ... + 4555655.

Almost surely, 2^{4049965171200} is an apocalyptic number.

4049965171200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4049965171200 is an abundant number, since it is smaller than the sum of its proper divisors (10357982411136).

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

4049965171200 is a wasteful number, since it uses less digits than its factorization.

4049965171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112955 (or 8112934 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 4049965171200 in words is "four trillion, forty-nine billion, nine hundred sixty-five million, one hundred seventy-one thousand, two hundred".