5353415142400 has 264 divisors, whose sum is σ = 14303065656320. Its totient is φ = 1974943088640.

The previous prime is 5353415142391. The next prime is 5353415142403. The reversal of 5353415142400 is 42415143535.

It is a super-2 number, since 2×5353415142400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5353415142400.

It is not an unprimeable number, because it can be changed into a prime (5353415142403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 425644912 + ... + 425657488.

Almost surely, 2^{5353415142400} is an apocalyptic number.

5353415142400 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 5353415142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151532828160).

5353415142400 is an abundant number, since it is smaller than the sum of its proper divisors (8949650513920).

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

5353415142400 is a wasteful number, since it uses less digits than its factorization.

5353415142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899 (or 13876 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 5353415142400 in words is "five trillion, three hundred fifty-three billion, four hundred fifteen million, one hundred forty-two thousand, four hundred".