41003124411400 has 192 divisors, whose sum is σ = 98191078493760. Its totient is φ = 15917808000000.

The previous prime is 41003124411367. The next prime is 41003124411427. The reversal of 41003124411400 is 411442130014.

It is a super-2 number, since 2×41003124411400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327592830 + ... + 327717970.

It is an arithmetic number, because the mean of its divisors is an integer number (511411867155).

Almost surely, 2^{41003124411400} is an apocalyptic number.

41003124411400 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 41003124411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49095539246880).

41003124411400 is an abundant number, since it is smaller than the sum of its proper divisors (57187954082360).

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

41003124411400 is a wasteful number, since it uses less digits than its factorization.

41003124411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125576 (or 125567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 41003124411400 its reverse (411442130014), we get a palindrome (41414566541414).

The spelling of 41003124411400 in words is "forty-one trillion, three billion, one hundred twenty-four million, four hundred eleven thousand, four hundred".