4116153600 has 648 divisors, whose sum is σ = 16606437120. Its totient is φ = 965099520.

The previous prime is 4116153583. The next prime is 4116153617. The reversal of 4116153600 is 63516114.

4116153600 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 1 + 53 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4116153583) and next prime (4116153617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17222281 + ... + 17222519.

Almost surely, 2^4116153600 is an apocalyptic number.

4116153600 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 4116153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303218560).

4116153600 is an abundant number, since it is smaller than the sum of its proper divisors (12490283520).

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

4116153600 is a wasteful number, since it uses less digits than its factorization.

4116153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4116153600 is about 64157.2567992117. The cubic root of 4116153600 is about 1602.6198744863.

Adding to 4116153600 its reverse (63516114), we get a palindrome (4179669714).

The spelling of 4116153600 in words is "four billion, one hundred sixteen million, one hundred fifty-three thousand, six hundred".