41143202140400 has 240 divisors, whose sum is σ = 110517169707360. Its totient is φ = 14627679436800.

The previous prime is 41143202140379. The next prime is 41143202140427. The reversal of 41143202140400 is 404120234114.

It is a self number, because there is not a number n which added to its sum of digits gives 41143202140400.

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, 40454120 + ... + 41458680.

It is an arithmetic number, because the mean of its divisors is an integer number (460488207114).

Almost surely, 2^{41143202140400} is an apocalyptic number.

41143202140400 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 41143202140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55258584853680).

41143202140400 is an abundant number, since it is smaller than the sum of its proper divisors (69373967566960).

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

41143202140400 is a wasteful number, since it uses less digits than its factorization.

41143202140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004932 (or 1004921 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 41143202140400 its reverse (404120234114), we get a palindrome (41547322374514).

The spelling of 41143202140400 in words is "forty-one trillion, one hundred forty-three billion, two hundred two million, one hundred forty thousand, four hundred".