4125640262772 has 96 divisors (see below), whose sum is σ = 11064022953984. Its totient is φ = 1172079504000.

The previous prime is 4125640262753. The next prime is 4125640262827. The reversal of 4125640262772 is 2772620465214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148118647 + ... + 148146497.

It is an arithmetic number, because the mean of its divisors is an integer number (115250239104).

Almost surely, 2^{4125640262772} is an apocalyptic number.

4125640262772 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 4125640262772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532011476992).

4125640262772 is an abundant number, since it is smaller than the sum of its proper divisors (6938382691212).

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

4125640262772 is a wasteful number, since it uses less digits than its factorization.

4125640262772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37789 (or 37787 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4125640262772 in words is "four trillion, one hundred twenty-five billion, six hundred forty million, two hundred sixty-two thousand, seven hundred seventy-two".