4125980736000 has 480 divisors, whose sum is σ = 14887545761088. Its totient is φ = 1098297139200.

The previous prime is 4125980735969. The next prime is 4125980736001. The reversal of 4125980736000 is 6370895214.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4125980736001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 338105899 + ... + 338118101.

It is a 1-persistent number, because it is pandigital, but 2⋅4125980736000 = 8251961472000 is not.

Almost surely, 2^{4125980736000} is an apocalyptic number.

4125980736000 is a gapful number since it is divisible by the number (40) 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 4125980736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443772880544).

4125980736000 is an abundant number, since it is smaller than the sum of its proper divisors (10761565025088).

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

4125980736000 is a wasteful number, since it uses less digits than its factorization.

4125980736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12800 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4125980736000 in words is "four trillion, one hundred twenty-five billion, nine hundred eighty million, seven hundred thirty-six thousand".