4114851840 has 720 divisors, whose sum is σ = 16607010420. Its totient is φ = 973209600.

The previous prime is 4114851817. The next prime is 4114851877. The reversal of 4114851840 is 481584114.

It can be written as a sum of positive squares in 2 ways, for example, as 3623076864 + 491774976 = 60192^2 + 22176^2 .

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 junction number, because it is equal to n+sod(n) for n = 4114851795 and 4114851804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100362220 + ... + 100362260.

Almost surely, 2^4114851840 is an apocalyptic number.

4114851840 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 4114851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303505210).

4114851840 is an abundant number, since it is smaller than the sum of its proper divisors (12492158580).

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

4114851840 is a wasteful number, since it uses less digits than its factorization.

4114851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4114851840 is about 64147.1109248109. The cubic root of 4114851840 is about 1602.4509103986.

The spelling of 4114851840 in words is "four billion, one hundred fourteen million, eight hundred fifty-one thousand, eight hundred forty".