4207125973248 has 216 divisors, whose sum is σ = 13808271597120. Its totient is φ = 1219456634880.

The previous prime is 4207125973229. The next prime is 4207125973249. The reversal of 4207125973248 is 8423795217024.

4207125973248 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 1 + 2 + 597 + 3 + 2 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4207125973194 and 4207125973203.

It is not an unprimeable number, because it can be changed into a prime (4207125973249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025803 + ... + 4191626.

It is an arithmetic number, because the mean of its divisors is an integer number (63927183320).

Almost surely, 2^{4207125973248} is an apocalyptic number.

4207125973248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4207125973248 is an abundant number, since it is smaller than the sum of its proper divisors (9601145623872).

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

4207125973248 is a wasteful number, since it uses less digits than its factorization.

4207125973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217485 (or 7217468 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4207125973248 in words is "four trillion, two hundred seven billion, one hundred twenty-five million, nine hundred seventy-three thousand, two hundred forty-eight".