4125008291712 has 768 divisors, whose sum is σ = 14246904672000. Its totient is φ = 1045373091840.

The previous prime is 4125008291711. The next prime is 4125008291771. The reversal of 4125008291712 is 2171928005214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4125008291711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1511544364 + ... + 1511547092.

It is an arithmetic number, because the mean of its divisors is an integer number (18550657125).

Almost surely, 2^{4125008291712} is an apocalyptic number.

4125008291712 is a gapful number since it is divisible by the number (42) 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 4125008291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123452336000).

4125008291712 is an abundant number, since it is smaller than the sum of its proper divisors (10121896380288).

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

4125008291712 is a wasteful number, since it uses less digits than its factorization.

4125008291712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 4125008291712 in words is "four trillion, one hundred twenty-five billion, eight million, two hundred ninety-one thousand, seven hundred twelve".