4124100201144 has 256 divisors, whose sum is σ = 13207721103360. Its totient is φ = 1041904512000.

The previous prime is 4124100201139. The next prime is 4124100201227. The reversal of 4124100201144 is 4411020014214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24996987 + ... + 25161429.

It is an arithmetic number, because the mean of its divisors is an integer number (51592660560).

Almost surely, 2^{4124100201144} is an apocalyptic number.

4124100201144 is a gapful number since it is divisible by the number (44) 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 4124100201144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603860551680).

4124100201144 is an abundant number, since it is smaller than the sum of its proper divisors (9083620902216).

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

4124100201144 is a wasteful number, since it uses less digits than its factorization.

4124100201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164842 (or 164838 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4124100201144 its reverse (4411020014214), we get a palindrome (8535120215358).

The spelling of 4124100201144 in words is "four trillion, one hundred twenty-four billion, one hundred million, two hundred one thousand, one hundred forty-four".