4140634608 has 240 divisors, whose sum is σ = 13096661760. Its totient is φ = 1210291200.

The previous prime is 4140634583. The next prime is 4140634627. The reversal of 4140634608 is 8064360414.

4140634608 is a `hidden beast` number, since 4 + 1 + 40 + 6 + 3 + 4 + 608 = 666.

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

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, 6688923 + ... + 6689541.

It is an arithmetic number, because the mean of its divisors is an integer number (54569424).

Almost surely, 2^4140634608 is an apocalyptic number.

4140634608 is a gapful number since it is divisible by the number (48) 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 4140634608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548330880).

4140634608 is an abundant number, since it is smaller than the sum of its proper divisors (8956027152).

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

4140634608 is a wasteful number, since it uses less digits than its factorization.

4140634608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4140634608 is about 64347.7630380420. The cubic root of 4140634608 is about 1605.7908141765.

The spelling of 4140634608 in words is "four billion, one hundred forty million, six hundred thirty-four thousand, six hundred eight".