4153234680 has 192 divisors, whose sum is σ = 15454333440. Its totient is φ = 947586816.

The previous prime is 4153234667. The next prime is 4153234753. The reversal of 4153234680 is 864323514.

4153234680 is a `hidden beast` number, since 4 + 1 + 532 + 3 + 46 + 80 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830907 + ... + 1833173.

It is an arithmetic number, because the mean of its divisors is an integer number (80491320).

Almost surely, 2^4153234680 is an apocalyptic number.

4153234680 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 4153234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727166720).

4153234680 is an abundant number, since it is smaller than the sum of its proper divisors (11301098760).

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

4153234680 is a wasteful number, since it uses less digits than its factorization.

4153234680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4153234680 is about 64445.5947291977. The cubic root of 4153234680 is about 1607.4179875553.

The spelling of 4153234680 in words is "four billion, one hundred fifty-three million, two hundred thirty-four thousand, six hundred eighty".