2133356324400 has 600 divisors, whose sum is σ = 9130689241344. Its totient is φ = 466422105600.

The previous prime is 2133356324399. The next prime is 2133356324471. The reversal of 2133356324400 is 44236533312.

2133356324400 is a `hidden beast` number, since 2 + 1 + 3 + 33 + 563 + 24 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 5011915 + ... + 5420885.

Almost surely, 2^{2133356324400} is an apocalyptic number.

2133356324400 is a gapful number since it is divisible by the number (20) 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 2133356324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565344620672).

2133356324400 is an abundant number, since it is smaller than the sum of its proper divisors (6997332916944).

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

2133356324400 is a wasteful number, since it uses less digits than its factorization.

2133356324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409031 (or 409011 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 2133356324400 in words is "two trillion, one hundred thirty-three billion, three hundred fifty-six million, three hundred twenty-four thousand, four hundred".