4114240800 has 144 divisors (see below), whose sum is σ = 13419578592. Its totient is φ = 1094860800.

The previous prime is 4114240777. The next prime is 4114240807. The reversal of 4114240800 is 80424114.

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

It is not an unprimeable number, because it can be changed into a prime (4114240807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1383315 + ... + 1386285.

It is an arithmetic number, because the mean of its divisors is an integer number (93191518).

Almost surely, 2^4114240800 is an apocalyptic number.

4114240800 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 4114240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709789296).

4114240800 is an abundant number, since it is smaller than the sum of its proper divisors (9305337792).

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

4114240800 is a wasteful number, since it uses less digits than its factorization.

4114240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4114240800 is about 64142.3479457994. The cubic root of 4114240800 is about 1602.3715871638.

Adding to 4114240800 its reverse (80424114), we get a palindrome (4194664914).

The spelling of 4114240800 in words is "four billion, one hundred fourteen million, two hundred forty thousand, eight hundred".