41001113333400 has 384 divisors, whose sum is σ = 144208505779200. Its totient is φ = 9548601753600.

The previous prime is 41001113333329. The next prime is 41001113333423. The reversal of 41001113333400 is 433331110014.

It is a super-2 number, since 2×41001113333400² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18229144 + ... + 20354456.

It is an arithmetic number, because the mean of its divisors is an integer number (375542983800).

Almost surely, 2^{41001113333400} is an apocalyptic number.

41001113333400 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 41001113333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72104252889600).

41001113333400 is an abundant number, since it is smaller than the sum of its proper divisors (103207392445800).

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

41001113333400 is a wasteful number, since it uses less digits than its factorization.

41001113333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125459 (or 2125450 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 41001113333400 its reverse (433331110014), we get a palindrome (41434444443414).

The spelling of 41001113333400 in words is "forty-one trillion, one billion, one hundred thirteen million, three hundred thirty-three thousand, four hundred".