4138172640 has 1152 divisors, whose sum is σ = 19020718080. Its totient is φ = 796262400.

The previous prime is 4138172617. The next prime is 4138172641. The reversal of 4138172640 is 462718314.

4138172640 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 1 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4138172595 and 4138172604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138172641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100931020 + ... + 100931060.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^4138172640 is an apocalyptic number.

4138172640 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 4138172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

4138172640 is an abundant number, since it is smaller than the sum of its proper divisors (14882545440).

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

4138172640 is a wasteful number, since it uses less digits than its factorization.

4138172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4138172640 is about 64328.6300180565. The cubic root of 4138172640 is about 1605.4724902334.

The spelling of 4138172640 in words is "four billion, one hundred thirty-eight million, one hundred seventy-two thousand, six hundred forty".