2134200404440 has 96 divisors (see below), whose sum is σ = 5200344789120. Its totient is φ = 787921665024.

The previous prime is 2134200404431. The next prime is 2134200404461. The reversal of 2134200404440 is 444040024312.

It is a super-2 number, since 2×2134200404440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134200404399 and 2134200404408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96677244 + ... + 96699316.

It is an arithmetic number, because the mean of its divisors is an integer number (54170258220).

Almost surely, 2^{2134200404440} is an apocalyptic number.

2134200404440 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 2134200404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600172394560).

2134200404440 is an abundant number, since it is smaller than the sum of its proper divisors (3066144384680).

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

2134200404440 is a wasteful number, since it uses less digits than its factorization.

2134200404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36413 (or 36396 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2134200404440 its reverse (444040024312), we get a palindrome (2578240428752).

The spelling of 2134200404440 in words is "two trillion, one hundred thirty-four billion, two hundred million, four hundred four thousand, four hundred forty".