64033142400 has 288 divisors, whose sum is σ = 230166881100. Its totient is φ = 16949821440.

The previous prime is 64033142389. The next prime is 64033142413. The reversal of 64033142400 is 424133046.

64033142400 is a `hidden beast` number, since 6 + 403 + 3 + 14 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 45430364736 + 18602777664 = 213144^2 + 136392^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3937486 + ... + 3953714.

Almost surely, 2^64033142400 is an apocalyptic number.

64033142400 is a gapful number since it is divisible by the number (60) 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 64033142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115083440550).

64033142400 is an abundant number, since it is smaller than the sum of its proper divisors (166133738700).

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

64033142400 is a wasteful number, since it uses less digits than its factorization.

64033142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16396 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 64033142400 its reverse (424133046), we get a palindrome (64457275446).

The spelling of 64033142400 in words is "sixty-four billion, thirty-three million, one hundred forty-two thousand, four hundred".