4125172976640 has 2112 divisors, whose sum is σ = 16547549211648. Its totient is φ = 980995276800.

The previous prime is 4125172976563. The next prime is 4125172976693. The reversal of 4125172976640 is 466792715214.

4125172976640 is a `hidden beast` number, since 4 + 1 + 2 + 517 + 29 + 7 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 58101027805 + ... + 58101027875.

Almost surely, 2^{4125172976640} is an apocalyptic number.

4125172976640 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 4125172976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273774605824).

4125172976640 is an abundant number, since it is smaller than the sum of its proper divisors (12422376235008).

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

4125172976640 is a wasteful number, since it uses less digits than its factorization.

4125172976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4125172976640 in words is "four trillion, one hundred twenty-five billion, one hundred seventy-two million, nine hundred seventy-six thousand, six hundred forty".