2134313120400 has 120 divisors (see below), whose sum is σ = 6842709996864. Its totient is φ = 568667865600.

The previous prime is 2134313120371. The next prime is 2134313120473. The reversal of 2134313120400 is 40213134312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664197 + ... + 2170203.

Almost surely, 2^{2134313120400} is an apocalyptic number.

2134313120400 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 2134313120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421354998432).

2134313120400 is an abundant number, since it is smaller than the sum of its proper divisors (4708396876464).

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

2134313120400 is a wasteful number, since it uses less digits than its factorization.

2134313120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507209 (or 1507198 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2134313120400 its reverse (40213134312), we get a palindrome (2174526254712).

The spelling of 2134313120400 in words is "two trillion, one hundred thirty-four billion, three hundred thirteen million, one hundred twenty thousand, four hundred".