4014131211444 has 96 divisors (see below), whose sum is σ = 9905246507520. Its totient is φ = 1263163568128.

The previous prime is 4014131211439. The next prime is 4014131211479. The reversal of 4014131211444 is 4441121314104.

It is a super-2 number, since 2×4014131211444² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16447492 + ... + 16689764.

It is an arithmetic number, because the mean of its divisors is an integer number (103179651120).

Almost surely, 2^{4014131211444} 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 4014131211444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952623253760).

4014131211444 is an abundant number, since it is smaller than the sum of its proper divisors (5891115296076).

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

4014131211444 is a wasteful number, since it uses less digits than its factorization.

4014131211444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243369 (or 243367 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 4014131211444 its reverse (4441121314104), we get a palindrome (8455252525548).

The spelling of 4014131211444 in words is "four trillion, fourteen billion, one hundred thirty-one million, two hundred eleven thousand, four hundred forty-four".