4145764400 has 30 divisors (see below), whose sum is σ = 9960199932. Its totient is φ = 1658305600.

The previous prime is 4145764373. The next prime is 4145764429. The reversal of 4145764400 is 44675414.

4145764400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5181806 + ... + 5182605.

Almost surely, 2^4145764400 is an apocalyptic number.

4145764400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4145764400 is an abundant number, since it is smaller than the sum of its proper divisors (5814435532).

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

4145764400 is a wasteful number, since it uses less digits than its factorization.

4145764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364429 (or 10364418 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 4145764400 is about 64387.6106094954. The cubic root of 4145764400 is about 1606.4536733963.

The spelling of 4145764400 in words is "four billion, one hundred forty-five million, seven hundred sixty-four thousand, four hundred".