5431411352400 has 240 divisors, whose sum is σ = 18991185438720. Its totient is φ = 1315951603200.

The previous prime is 5431411352371. The next prime is 5431411352483. The reversal of 5431411352400 is 42531141345.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 23101839 + ... + 23335761.

It is an arithmetic number, because the mean of its divisors is an integer number (79129939328).

Almost surely, 2^{5431411352400} is an apocalyptic number.

5431411352400 is a gapful number since it is divisible by the number (50) 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 5431411352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495592719360).

5431411352400 is an abundant number, since it is smaller than the sum of its proper divisors (13559774086320).

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

5431411352400 is a wasteful number, since it uses less digits than its factorization.

5431411352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235714 (or 235703 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 5431411352400 its reverse (42531141345), we get a palindrome (5473942493745).

The spelling of 5431411352400 in words is "five trillion, four hundred thirty-one billion, four hundred eleven million, three hundred fifty-two thousand, four hundred".