4114386640 has 80 divisors (see below), whose sum is σ = 11773496448. Its totient is φ = 1302133248.

The previous prime is 4114386637. The next prime is 4114386649. The reversal of 4114386640 is 466834114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×4114386640⁴ (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4114386640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114386649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275302 + ... + 289861.

Almost surely, 2^4114386640 is an apocalyptic number.

4114386640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114386640 is an abundant number, since it is smaller than the sum of its proper divisors (7659109808).

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

4114386640 is a wasteful number, since it uses less digits than its factorization.

4114386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565196 (or 565190 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4114386640 is about 64143.4847821663. The cubic root of 4114386640 is about 1602.3905203540.

The spelling of 4114386640 in words is "four billion, one hundred fourteen million, three hundred eighty-six thousand, six hundred forty".