4114627480 has 96 divisors (see below), whose sum is σ = 9530892000. Its totient is φ = 1598496768.

The previous prime is 4114627471. The next prime is 4114627501. The reversal of 4114627480 is 847264114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20676421 + ... + 20676619.

It is an arithmetic number, because the mean of its divisors is an integer number (99280125).

Almost surely, 2^4114627480 is an apocalyptic number.

4114627480 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 4114627480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765446000).

4114627480 is an abundant number, since it is smaller than the sum of its proper divisors (5416264520).

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

4114627480 is a wasteful number, since it uses less digits than its factorization.

4114627480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 4114627480 is about 64145.3621082616. The cubic root of 4114627480 is about 1602.4217856220.

The spelling of 4114627480 in words is "four billion, one hundred fourteen million, six hundred twenty-seven thousand, four hundred eighty".