4146236640 has 768 divisors, whose sum is σ = 18289152000. Its totient is φ = 853991424.

The previous prime is 4146236609. The next prime is 4146236651. The reversal of 4146236640 is 466326414.

4146236640 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 2 + 3 + 6 + 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 = 4146236595 and 4146236604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20835261 + ... + 20835459.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2^4146236640 is an apocalyptic number.

4146236640 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 4146236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576000).

4146236640 is an abundant number, since it is smaller than the sum of its proper divisors (14142915360).

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

4146236640 is a wasteful number, since it uses less digits than its factorization.

4146236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4146236640 is about 64391.2776701938. The cubic root of 4146236640 is about 1606.5146676068.

The spelling of 4146236640 in words is "four billion, one hundred forty-six million, two hundred thirty-six thousand, six hundred forty".