4013022231144 has 384 divisors, whose sum is σ = 11924273088000. Its totient is φ = 1214397370368.

The previous prime is 4013022231139. The next prime is 4013022231161. The reversal of 4013022231144 is 4411322203104.

4013022231144 is a `hidden beast` number, since 4 + 0 + 1 + 302 + 2 + 2 + 311 + 44 = 666.

It is a super-2 number, since 2×4013022231144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3638278897 + ... + 3638279999.

It is an arithmetic number, because the mean of its divisors is an integer number (31052794500).

Almost surely, 2^{4013022231144} 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 4013022231144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962136544000).

4013022231144 is an abundant number, since it is smaller than the sum of its proper divisors (7911250856856).

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

4013022231144 is a wasteful number, since it uses less digits than its factorization.

4013022231144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4013022231144 its reverse (4411322203104), we get a palindrome (8424344434248).

The spelling of 4013022231144 in words is "four trillion, thirteen billion, twenty-two million, two hundred thirty-one thousand, one hundred forty-four".