4125152001344 has 112 divisors (see below), whose sum is σ = 9245594594880. Its totient is φ = 1808913039360.

The previous prime is 4125152001319. The next prime is 4125152001349. The reversal of 4125152001344 is 4431002515214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4125152001344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125152001349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24763259 + ... + 24929285.

It is an arithmetic number, because the mean of its divisors is an integer number (82549951740).

Almost surely, 2^{4125152001344} is an apocalyptic number.

4125152001344 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 4125152001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622797297440).

4125152001344 is an abundant number, since it is smaller than the sum of its proper divisors (5120442593536).

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

4125152001344 is a wasteful number, since it uses less digits than its factorization.

4125152001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167296 (or 167286 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 4125152001344 its reverse (4431002515214), we get a palindrome (8556154516558).

The spelling of 4125152001344 in words is "four trillion, one hundred twenty-five billion, one hundred fifty-two million, one thousand, three hundred forty-four".