4114350240 has 384 divisors, whose sum is σ = 17403144192. Its totient is φ = 789073920.

The previous prime is 4114350221. The next prime is 4114350301. The reversal of 4114350240 is 420534114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4114350240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 476199 + ... + 484761.

It is an arithmetic number, because the mean of its divisors is an integer number (45320688).

Almost surely, 2^4114350240 is an apocalyptic number.

4114350240 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 4114350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701572096).

4114350240 is an abundant number, since it is smaller than the sum of its proper divisors (13288793952).

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

4114350240 is a wasteful number, since it uses less digits than its factorization.

4114350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8612 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4114350240 is about 64143.2010426670. The cubic root of 4114350240 is about 1602.3857948877.

Adding to 4114350240 its reverse (420534114), we get a palindrome (4534884354).

The spelling of 4114350240 in words is "four billion, one hundred fourteen million, three hundred fifty thousand, two hundred forty".