4114955520 has 720 divisors, whose sum is σ = 16453971072. Its totient is φ = 975421440.

The previous prime is 4114955513. The next prime is 4114955521. The reversal of 4114955520 is 255594114.

4114955520 is a `hidden beast` number, since 4 + 1 + 14 + 95 + 552 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114955521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57957085 + ... + 57957155.

Almost surely, 2^4114955520 is an apocalyptic number.

4114955520 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 4114955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226985536).

4114955520 is an abundant number, since it is smaller than the sum of its proper divisors (12339015552).

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

4114955520 is a wasteful number, since it uses less digits than its factorization.

4114955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 4114955520 is about 64147.9190621177. The cubic root of 4114955520 is about 1602.4643690212.

It can be divided in two parts, 41149 and 55520, that added together give a palindrome (96669).

The spelling of 4114955520 in words is "four billion, one hundred fourteen million, nine hundred fifty-five thousand, five hundred twenty".