41431201314400 has 144 divisors (see below), whose sum is σ = 102150759620448. Its totient is φ = 16408304640000.

The previous prime is 41431201314383. The next prime is 41431201314409. The reversal of 41431201314400 is 441310213414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41431201314409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32733325 + ... + 33975475.

It is an arithmetic number, because the mean of its divisors is an integer number (709380275142).

Almost surely, 2^{41431201314400} is an apocalyptic number.

41431201314400 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 41431201314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51075379810224).

41431201314400 is an abundant number, since it is smaller than the sum of its proper divisors (60719558306048).

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

41431201314400 is a wasteful number, since it uses less digits than its factorization.

41431201314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242585 (or 1242572 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 41431201314400 its reverse (441310213414), we get a palindrome (41872511527814).

The spelling of 41431201314400 in words is "forty-one trillion, four hundred thirty-one billion, two hundred one million, three hundred fourteen thousand, four hundred".