4101142144 has 64 divisors (see below), whose sum is σ = 9300588480. Its totient is φ = 1783091200.

The previous prime is 4101142139. The next prime is 4101142147. The reversal of 4101142144 is 4412411014.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4101142147) 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, 30937 + ... + 95704.

It is an arithmetic number, because the mean of its divisors is an integer number (145321695).

Almost surely, 2^4101142144 is an apocalyptic number.

4101142144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4101142144 is an abundant number, since it is smaller than the sum of its proper divisors (5199446336).

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

4101142144 is a wasteful number, since it uses less digits than its factorization.

4101142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126689 (or 126677 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4101142144 is about 64040.1603995493. The cubic root of 4101142144 is about 1600.6692700095.

Adding to 4101142144 its reverse (4412411014), we get a palindrome (8513553158).

The spelling of 4101142144 in words is "four billion, one hundred one million, one hundred forty-two thousand, one hundred forty-four".