2121400330434 has 192 divisors, whose sum is σ = 5872646707200. Its totient is φ = 537359328000.

The previous prime is 2121400330409. The next prime is 2121400330447. The reversal of 2121400330434 is 4340330041212.

2121400330434 is a `hidden beast` number, since 212 + 1 + 400 + 3 + 3 + 0 + 43 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2121400330398 and 2121400330407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181325917 + ... + 181337615.

It is an arithmetic number, because the mean of its divisors is an integer number (30586701600).

Almost surely, 2^{2121400330434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121400330434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936323353600).

2121400330434 is an abundant number, since it is smaller than the sum of its proper divisors (3751246376766).

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

2121400330434 is a wasteful number, since it uses less digits than its factorization.

2121400330434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14957 (or 14954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2121400330434 its reverse (4340330041212), we get a palindrome (6461730371646).

The spelling of 2121400330434 in words is "two trillion, one hundred twenty-one billion, four hundred million, three hundred thirty thousand, four hundred thirty-four".