2134005350400 has 2304 divisors, whose sum is σ = 10005149808000. Its totient is φ = 440952422400.

The previous prime is 2134005350377. The next prime is 2134005350459. The reversal of 2134005350400 is 40535004312.

2134005350400 is a `hidden beast` number, since 213 + 40 + 0 + 5 + 3 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11921817511 + ... + 11921817689.

Almost surely, 2^{2134005350400} is an apocalyptic number.

2134005350400 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 2134005350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002574904000).

2134005350400 is an abundant number, since it is smaller than the sum of its proper divisors (7871144457600).

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

2134005350400 is a wasteful number, since it uses less digits than its factorization.

2134005350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 2134005350400 in words is "two trillion, one hundred thirty-four billion, five million, three hundred fifty thousand, four hundred".