4153261248 has 252 divisors, whose sum is σ = 12822722640. Its totient is φ = 1282811904.

The previous prime is 4153261241. The next prime is 4153261249. The reversal of 4153261248 is 8421623514.

It is a happy number.

4153261248 is a `hidden beast` number, since 4 + 1 + 5 + 32 + 612 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4153261241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18136398 + ... + 18136626.

It is an arithmetic number, because the mean of its divisors is an integer number (50883820).

Almost surely, 2^4153261248 is an apocalyptic number.

4153261248 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 4153261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411361320).

4153261248 is an abundant number, since it is smaller than the sum of its proper divisors (8669461392).

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

4153261248 is a wasteful number, since it uses less digits than its factorization.

4153261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 294 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4153261248 is about 64445.8008562234. The cubic root of 4153261248 is about 1607.4214150677.

The spelling of 4153261248 in words is "four billion, one hundred fifty-three million, two hundred sixty-one thousand, two hundred forty-eight".