4153540776 has 512 divisors, whose sum is σ = 14631321600. Its totient is φ = 949616640.

The previous prime is 4153540763. The next prime is 4153540789. The reversal of 4153540776 is 6770453514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4153540763) and next prime (4153540789).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42819960 + ... + 42820056.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^4153540776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153540776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

4153540776 is an abundant number, since it is smaller than the sum of its proper divisors (10477780824).

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

4153540776 is a wasteful number, since it uses less digits than its factorization.

4153540776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 4153540776 is about 64447.9695258121. The cubic root of 4153540776 is about 1607.4574758231.

The spelling of 4153540776 in words is "four billion, one hundred fifty-three million, five hundred forty thousand, seven hundred seventy-six".