4145276352 has 224 divisors, whose sum is σ = 13293506560. Its totient is φ = 1114767360.

The previous prime is 4145276351. The next prime is 4145276353. The reversal of 4145276352 is 2536725414.

It is an interprime number because it is at equal distance from previous prime (4145276351) and next prime (4145276353).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4145276352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145276351) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1540224 + ... + 1542912.

Almost surely, 2^4145276352 is an apocalyptic number.

4145276352 is a gapful number since it is divisible by the number (42) 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 4145276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646753280).

4145276352 is an abundant number, since it is smaller than the sum of its proper divisors (9148230208).

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

4145276352 is a wasteful number, since it uses less digits than its factorization.

4145276352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2769 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 4145276352 is about 64383.8205762907. The cubic root of 4145276352 is about 1606.3906325676.

The spelling of 4145276352 in words is "four billion, one hundred forty-five million, two hundred seventy-six thousand, three hundred fifty-two".