4155105600 has 252 divisors, whose sum is σ = 15316630784. Its totient is φ = 1107924480.

The previous prime is 4155105589. The next prime is 4155105629. The reversal of 4155105600 is 65015514.

It is a happy number.

4155105600 is a `hidden beast` number, since 4 + 1 + 5 + 51 + 0 + 5 + 600 = 666.

4155105600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 383457 + ... + 394143.

Almost surely, 2^4155105600 is an apocalyptic number.

4155105600 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 4155105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658315392).

4155105600 is an abundant number, since it is smaller than the sum of its proper divisors (11161525184).

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

4155105600 is a wasteful number, since it uses less digits than its factorization.

4155105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 4155105600 is about 64460.1085943857. The cubic root of 4155105600 is about 1607.6593174447.

It can be divided in two parts, 415 and 5105600, that added together give a palindrome (5106015).

The spelling of 4155105600 in words is "four billion, one hundred fifty-five million, one hundred five thousand, six hundred".