2114440434132 has 192 divisors, whose sum is σ = 5527984250880. Its totient is φ = 624566992896.

The previous prime is 2114440434097. The next prime is 2114440434151. The reversal of 2114440434132 is 2314340444112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2114440434093 and 2114440434102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 611638548 + ... + 611642004.

It is an arithmetic number, because the mean of its divisors is an integer number (28791584640).

Almost surely, 2^{2114440434132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114440434132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763992125440).

2114440434132 is an abundant number, since it is smaller than the sum of its proper divisors (3413543816748).

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

2114440434132 is a wasteful number, since it uses less digits than its factorization.

2114440434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 2114440434132 its reverse (2314340444112), we get a palindrome (4428780878244).

The spelling of 2114440434132 in words is "two trillion, one hundred fourteen billion, four hundred forty million, four hundred thirty-four thousand, one hundred thirty-two".