4041200400000 has 384 divisors, whose sum is σ = 13471648384320. Its totient is φ = 1073280000000.

The previous prime is 4041200399981. The next prime is 4041200400001. The reversal of 4041200400000 is 40021404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4041200400001) 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 47 ways as a sum of consecutive naturals, for example, 301193292 + ... + 301206708.

Almost surely, 2^{4041200400000} is an apocalyptic number.

4041200400000 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 4041200400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735824192160).

4041200400000 is an abundant number, since it is smaller than the sum of its proper divisors (9430447984320).

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

4041200400000 is an equidigital number, since it uses as much as digits as its factorization.

4041200400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13710 (or 13678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 4041200400000 its reverse (40021404), we get a palindrome (4041240421404).

The spelling of 4041200400000 in words is "four trillion, forty-one billion, two hundred million, four hundred thousand".