5330133310400 has 168 divisors, whose sum is σ = 13417128756240. Its totient is φ = 2083549962240.

The previous prime is 5330133310399. The next prime is 5330133310423. The reversal of 5330133310400 is 40133310335.

It is a super-2 number, since 2×5330133310400² (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 5330133310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12521867 + ... + 12940533.

Almost surely, 2^{5330133310400} is an apocalyptic number.

5330133310400 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 5330133310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708564378120).

5330133310400 is an abundant number, since it is smaller than the sum of its proper divisors (8086995445840).

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

5330133310400 is a wasteful number, since it uses less digits than its factorization.

5330133310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418871 (or 418856 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 5330133310400 its reverse (40133310335), we get a palindrome (5370266620735).

The spelling of 5330133310400 in words is "five trillion, three hundred thirty billion, one hundred thirty-three million, three hundred ten thousand, four hundred".