5344412522400 has 1728 divisors, whose sum is σ = 24125318380800. Its totient is φ = 1083766210560.

The previous prime is 5344412522399. The next prime is 5344412522411. The reversal of 5344412522400 is 42252144435.

5344412522400 is a `hidden beast` number, since 5 + 344 + 41 + 252 + 24 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3793052896 + ... + 3793054304.

It is an arithmetic number, because the mean of its divisors is an integer number (13961411100).

Almost surely, 2^{5344412522400} is an apocalyptic number.

5344412522400 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 5344412522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12062659190400).

5344412522400 is an abundant number, since it is smaller than the sum of its proper divisors (18780905858400).

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

5344412522400 is a wasteful number, since it uses less digits than its factorization.

5344412522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 5344412522400 its reverse (42252144435), we get a palindrome (5386664666835).

The spelling of 5344412522400 in words is "five trillion, three hundred forty-four billion, four hundred twelve million, five hundred twenty-two thousand, four hundred".