4021444441134 has 144 divisors (see below), whose sum is σ = 9250632353664. Its totient is φ = 1262380140000.

The previous prime is 4021444441117. The next prime is 4021444441151. The reversal of 4021444441134 is 4311444441204.

4021444441134 is a `hidden beast` number, since 40 + 2 + 1 + 4 + 44 + 441 + 134 = 666.

It is an interprime number because it is at equal distance from previous prime (4021444441117) and next prime (4021444441151).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1786513509 + ... + 1786515759.

It is an arithmetic number, because the mean of its divisors is an integer number (64240502456).

Almost surely, 2^{4021444441134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021444441134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625316176832).

4021444441134 is an abundant number, since it is smaller than the sum of its proper divisors (5229187912530).

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

4021444441134 is a wasteful number, since it uses less digits than its factorization.

4021444441134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4021444441134 its reverse (4311444441204), we get a palindrome (8332888882338).

It can be divided in two parts, 4021444 and 441134, that added together give a triangular number (4462578 = T₂₉₈₇).

The spelling of 4021444441134 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred forty-one thousand, one hundred thirty-four".