4153742208 has 640 divisors, whose sum is σ = 15900445440. Its totient is φ = 1053803520.

The previous prime is 4153742207. The next prime is 4153742227. The reversal of 4153742208 is 8022473514.

It is a happy number.

4153742208 is a `hidden beast` number, since 415 + 37 + 4 + 2 + 208 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153742207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96598635 + ... + 96598677.

It is an arithmetic number, because the mean of its divisors is an integer number (24844446).

Almost surely, 2^4153742208 is an apocalyptic number.

4153742208 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 4153742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950222720).

4153742208 is an abundant number, since it is smaller than the sum of its proper divisors (11746703232).

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

4153742208 is an equidigital number, since it uses as much as digits as its factorization.

4153742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4153742208 is about 64449.5322558667. The cubic root of 4153742208 is about 1607.4834607323.

The spelling of 4153742208 in words is "four billion, one hundred fifty-three million, seven hundred forty-two thousand, two hundred eight".