5431344710400 has 1944 divisors, whose sum is σ = 23601068434944. Its totient is φ = 1232166297600.

The previous prime is 5431344710377. The next prime is 5431344710411. The reversal of 5431344710400 is 40174431345.

5431344710400 is a `hidden beast` number, since 54 + 3 + 134 + 4 + 71 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20041862265 + ... + 20041862535.

Almost surely, 2^{5431344710400} is an apocalyptic number.

5431344710400 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 5431344710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800534217472).

5431344710400 is an abundant number, since it is smaller than the sum of its proper divisors (18169723724544).

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

5431344710400 is a wasteful number, since it uses less digits than its factorization.

5431344710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 5431344710400 in words is "five trillion, four hundred thirty-one billion, three hundred forty-four million, seven hundred ten thousand, four hundred".