5333442566400 has 648 divisors, whose sum is σ = 21197563435776. Its totient is φ = 1270491955200.

The previous prime is 5333442566341. The next prime is 5333442566437. The reversal of 5333442566400 is 46652443335.

5333442566400 is a `hidden beast` number, since 5 + 3 + 3 + 3 + 4 + 42 + 566 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23097919 + ... + 23327681.

Almost surely, 2^{5333442566400} is an apocalyptic number.

5333442566400 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 5333442566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598781717888).

5333442566400 is an abundant number, since it is smaller than the sum of its proper divisors (15864120869376).

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

5333442566400 is a wasteful number, since it uses less digits than its factorization.

5333442566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229839 (or 229817 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 5333442566400 in words is "five trillion, three hundred thirty-three billion, four hundred forty-two million, five hundred sixty-six thousand, four hundred".