4434134001440 has 192 divisors, whose sum is σ = 12954788058240. Its totient is φ = 1410044682240.

The previous prime is 4434134001403. The next prime is 4434134001449. The reversal of 4434134001440 is 441004314344.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4434134001397 and 4434134001406.

It is not an unprimeable number, because it can be changed into a prime (4434134001449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4665269 + ... + 5534708.

It is an arithmetic number, because the mean of its divisors is an integer number (67472854470).

Almost surely, 2^{4434134001440} is an apocalyptic number.

4434134001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434134001440 is an abundant number, since it is smaller than the sum of its proper divisors (8520654056800).

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

4434134001440 is a wasteful number, since it uses less digits than its factorization.

4434134001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200035 (or 10200027 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4434134001440 its reverse (441004314344), we get a palindrome (4875138315784).

The spelling of 4434134001440 in words is "four trillion, four hundred thirty-four billion, one hundred thirty-four million, one thousand, four hundred forty".