4114563840 has 432 divisors, whose sum is σ = 15186854592. Its totient is φ = 1026195456.

The previous prime is 4114563809. The next prime is 4114563847. The reversal of 4114563840 is 483654114.

4114563840 is a `hidden beast` number, since 4 + 1 + 14 + 5 + 638 + 4 + 0 = 666.

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 = 4114563795 and 4114563804.

It is not an unprimeable number, because it can be changed into a prime (4114563847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14042734 + ... + 14043026.

It is an arithmetic number, because the mean of its divisors is an integer number (35154756).

Almost surely, 2^4114563840 is an apocalyptic number.

4114563840 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 4114563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593427296).

4114563840 is an abundant number, since it is smaller than the sum of its proper divisors (11072290752).

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

4114563840 is a wasteful number, since it uses less digits than its factorization.

4114563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4114563840 is about 64144.8660455379. The cubic root of 4114563840 is about 1602.4135241493.

The spelling of 4114563840 in words is "four billion, one hundred fourteen million, five hundred sixty-three thousand, eight hundred forty".