4206248640 has 336 divisors, whose sum is σ = 16295924736. Its totient is φ = 986572800.

The previous prime is 4206248617. The next prime is 4206248659. The reversal of 4206248640 is 468426024.

It is a happy number.

4206248640 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 2 + 4 + 8 + 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 = 4206248595 and 4206248604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979939 + ... + 984221.

It is an arithmetic number, because the mean of its divisors is an integer number (48499776).

Almost surely, 2^4206248640 is an apocalyptic number.

4206248640 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 4206248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147962368).

4206248640 is an abundant number, since it is smaller than the sum of its proper divisors (12089676096).

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

4206248640 is a wasteful number, since it uses less digits than its factorization.

4206248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4206248640 is about 64855.5983705339. The cubic root of 4206248640 is about 1614.2283872254.

The spelling of 4206248640 in words is "four billion, two hundred six million, two hundred forty-eight thousand, six hundred forty".