4034122102144 has 64 divisors (see below), whose sum is σ = 8311618022400. Its totient is φ = 1949155453440.

The previous prime is 4034122102141. The next prime is 4034122102181. The reversal of 4034122102144 is 4412012214304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4034122102144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034122102141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3768822 + ... + 4719349.

It is an arithmetic number, because the mean of its divisors is an integer number (129869031600).

Almost surely, 2^{4034122102144} is an apocalyptic number.

It is an amenable number.

4034122102144 is an abundant number, since it is smaller than the sum of its proper divisors (4277495920256).

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

4034122102144 is an equidigital number, since it uses as much as digits as its factorization.

4034122102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488311 (or 8488299 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4034122102144 its reverse (4412012214304), we get a palindrome (8446134316448).

The spelling of 4034122102144 in words is "four trillion, thirty-four billion, one hundred twenty-two million, one hundred two thousand, one hundred forty-four".