4041134041200 has 120 divisors (see below), whose sum is σ = 12979256774400. Its totient is φ = 1074792257280.

The previous prime is 4041134041183. The next prime is 4041134041211. The reversal of 4041134041200 is 21404311404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3987960 + ... + 4897559.

It is an arithmetic number, because the mean of its divisors is an integer number (108160473120).

Almost surely, 2^{4041134041200} is an apocalyptic number.

4041134041200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4041134041200 is an abundant number, since it is smaller than the sum of its proper divisors (8938122733200).

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

4041134041200 is a wasteful number, since it uses less digits than its factorization.

4041134041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8885919 (or 8885908 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4041134041200 its reverse (21404311404), we get a palindrome (4062538352604).

The spelling of 4041134041200 in words is "four trillion, forty-one billion, one hundred thirty-four million, forty-one thousand, two hundred".