4114627640 has 64 divisors (see below), whose sum is σ = 9819480960. Its totient is φ = 1546352640.

The previous prime is 4114627633. The next prime is 4114627667. The reversal of 4114627640 is 467264114.

It is a self number, because there is not a number n which added to its sum of digits gives 4114627640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411905 + ... + 421775.

It is an arithmetic number, because the mean of its divisors is an integer number (153429390).

Almost surely, 2^4114627640 is an apocalyptic number.

4114627640 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 4114627640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909740480).

4114627640 is an abundant number, since it is smaller than the sum of its proper divisors (5704853320).

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

4114627640 is a wasteful number, since it uses less digits than its factorization.

4114627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4114627640 is about 64145.3633554289. The cubic root of 4114627640 is about 1602.4218063924.

It can be divided in two parts, 41146 and 27640, that added together give a palindrome (68786).

The spelling of 4114627640 in words is "four billion, one hundred fourteen million, six hundred twenty-seven thousand, six hundred forty".