4141110400000 has 528 divisors, whose sum is σ = 11897426016000. Its totient is φ = 1411153920000.

The previous prime is 4141110399983. The next prime is 4141110400013. The reversal of 4141110400000 is 40111414.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4457599536 + ... + 4457600464.

Almost surely, 2^{4141110400000} is an apocalyptic number.

4141110400000 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 4141110400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948713008000).

4141110400000 is an abundant number, since it is smaller than the sum of its proper divisors (7756315616000).

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

4141110400000 is an frugal number, since it uses more digits than its factorization.

4141110400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 4141110400000 its reverse (40111414), we get a palindrome (4141150511414).

The spelling of 4141110400000 in words is "four trillion, one hundred forty-one billion, one hundred ten million, four hundred thousand".