5456333084400 has 360 divisors, whose sum is σ = 20780070240384. Its totient is φ = 1314825177600.

The previous prime is 5456333084369. The next prime is 5456333084413. The reversal of 5456333084400 is 44803336545.

5456333084400 is a `hidden beast` number, since 5 + 4 + 5 + 633 + 3 + 0 + 8 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6200667 + ... + 7025733.

Almost surely, 2^{5456333084400} is an apocalyptic number.

5456333084400 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 5456333084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10390035120192).

5456333084400 is an abundant number, since it is smaller than the sum of its proper divisors (15323737155984).

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

5456333084400 is a wasteful number, since it uses less digits than its factorization.

5456333084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825269 (or 825255 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 5456333084400 in words is "five trillion, four hundred fifty-six billion, three hundred thirty-three million, eighty-four thousand, four hundred".