4126202640 has 640 divisors, whose sum is σ = 17484595200. Its totient is φ = 873400320.

The previous prime is 4126202611. The next prime is 4126202681. The reversal of 4126202640 is 462026214.

4126202640 is a `hidden beast` number, since 4 + 12 + 6 + 2 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 15225705 + ... + 15225975.

It is an arithmetic number, because the mean of its divisors is an integer number (27319680).

Almost surely, 2^4126202640 is an apocalyptic number.

4126202640 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 4126202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742297600).

4126202640 is an abundant number, since it is smaller than the sum of its proper divisors (13358392560).

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

4126202640 is a wasteful number, since it uses less digits than its factorization.

4126202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4126202640 is about 64235.5247507172. The cubic root of 4126202640 is about 1603.9230088065.

Adding to 4126202640 its reverse (462026214), we get a palindrome (4588228854).

The spelling of 4126202640 in words is "four billion, one hundred twenty-six million, two hundred two thousand, six hundred forty".