41053544004000 has 768 divisors, whose sum is σ = 148145670586368. Its totient is φ = 9855820800000.

The previous prime is 41053544003993. The next prime is 41053544004037. The reversal of 41053544004000 is 40044535014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10578082060 + ... + 10578085940.

It is an arithmetic number, because the mean of its divisors is an integer number (192898008576).

Almost surely, 2^{41053544004000} is an apocalyptic number.

41053544004000 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 41053544004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74072835293184).

41053544004000 is an abundant number, since it is smaller than the sum of its proper divisors (107092126582368).

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

41053544004000 is a wasteful number, since it uses less digits than its factorization.

41053544004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 41053544004000 its reverse (40044535014), we get a palindrome (41093588539014).

The spelling of 41053544004000 in words is "forty-one trillion, fifty-three billion, five hundred forty-four million, four thousand".