4153640400 has 720 divisors, whose sum is σ = 18357713920. Its totient is φ = 846028800.

The previous prime is 4153640377. The next prime is 4153640401. The reversal of 4153640400 is 40463514.

4153640400 is a `hidden beast` number, since 4 + 15 + 3 + 640 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153640401) 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 143 ways as a sum of consecutive naturals, for example, 10155396 + ... + 10155804.

Almost surely, 2^4153640400 is an apocalyptic number.

4153640400 is a gapful number since it is divisible by the number (40) 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 4153640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178856960).

4153640400 is an abundant number, since it is smaller than the sum of its proper divisors (14204073520).

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

4153640400 is a wasteful number, since it uses less digits than its factorization.

4153640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4153640400 is about 64448.7424237277. The cubic root of 4153640400 is about 1607.4703275137.

The spelling of 4153640400 in words is "four billion, one hundred fifty-three million, six hundred forty thousand, four hundred".