41013121241400 has 384 divisors, whose sum is σ = 158569043074560. Its totient is φ = 8519196672000.

The previous prime is 41013121241371. The next prime is 41013121241413. The reversal of 41013121241400 is 414212131014.

It is a happy number.

It is a super-2 number, since 2×41013121241400² (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, 131838040 + ... + 132148760.

It is an arithmetic number, because the mean of its divisors is an integer number (412940216340).

Almost surely, 2^{41013121241400} is an apocalyptic number.

41013121241400 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 41013121241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79284521537280).

41013121241400 is an abundant number, since it is smaller than the sum of its proper divisors (117555921833160).

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

41013121241400 is a wasteful number, since it uses less digits than its factorization.

41013121241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313615 (or 313606 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 41013121241400 its reverse (414212131014), we get a palindrome (41427333372414).

The spelling of 41013121241400 in words is "forty-one trillion, thirteen billion, one hundred twenty-one million, two hundred forty-one thousand, four hundred".