4125320640 has 336 divisors, whose sum is σ = 17171773632. Its totient is φ = 887390208.

The previous prime is 4125320611. The next prime is 4125320653. The reversal of 4125320640 is 460235214.

4125320640 is a `hidden beast` number, since 4 + 12 + 5 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 336702 + ... + 348738.

Almost surely, 2^4125320640 is an apocalyptic number.

4125320640 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 4125320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585886816).

4125320640 is an abundant number, since it is smaller than the sum of its proper divisors (13046452992).

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

4125320640 is a wasteful number, since it uses less digits than its factorization.

4125320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4125320640 is about 64228.6590238345. The cubic root of 4125320640 is about 1603.8087180145.

Adding to 4125320640 its reverse (460235214), we get a palindrome (4585555854).

The spelling of 4125320640 in words is "four billion, one hundred twenty-five million, three hundred twenty thousand, six hundred forty".