2040022314144 has 144 divisors (see below), whose sum is σ = 5997782778624. Its totient is φ = 657046425600.

The previous prime is 2040022314137. The next prime is 2040022314167. The reversal of 2040022314144 is 4414132200402.

2040022314144 is a `hidden beast` number, since 20 + 4 + 0 + 0 + 223 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563024 + ... + 5918384.

It is an arithmetic number, because the mean of its divisors is an integer number (41651269296).

Almost surely, 2^{2040022314144} is an apocalyptic number.

2040022314144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040022314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998891389312).

2040022314144 is an abundant number, since it is smaller than the sum of its proper divisors (3957760464480).

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

2040022314144 is a wasteful number, since it uses less digits than its factorization.

2040022314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356051 (or 356040 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2040022314144 its reverse (4414132200402), we get a palindrome (6454154514546).

The spelling of 2040022314144 in words is "two trillion, forty billion, twenty-two million, three hundred fourteen thousand, one hundred forty-four".