4404200151414 has 128 divisors (see below), whose sum is σ = 10690264645632. Its totient is φ = 1180842508800.

The previous prime is 4404200151401. The next prime is 4404200151419. The reversal of 4404200151414 is 4141510024044.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404200151419) 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 63 ways as a sum of consecutive naturals, for example, 483813987 + ... + 483823089.

It is an arithmetic number, because the mean of its divisors is an integer number (83517692544).

Almost surely, 2^{4404200151414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404200151414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345132322816).

4404200151414 is an abundant number, since it is smaller than the sum of its proper divisors (6286064494218).

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

4404200151414 is a wasteful number, since it uses less digits than its factorization.

4404200151414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11050.

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 4404200151414 its reverse (4141510024044), we get a palindrome (8545710175458).

The spelling of 4404200151414 in words is "four trillion, four hundred four billion, two hundred million, one hundred fifty-one thousand, four hundred fourteen".