4102344400 has 240 divisors, whose sum is σ = 12824322048. Its totient is φ = 1222848000.

The previous prime is 4102344299. The next prime is 4102344403. The reversal of 4102344400 is 44432014.

It is a super-2 number, since 2×4102344400² = 33658459152422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102344403) 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, 705505 + ... + 711295.

Almost surely, 2^4102344400 is an apocalyptic number.

4102344400 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 4102344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412161024).

4102344400 is an abundant number, since it is smaller than the sum of its proper divisors (8721977648).

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

4102344400 is a wasteful number, since it uses less digits than its factorization.

4102344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4102344400 is about 64049.5464464816. The cubic root of 4102344400 is about 1600.8256675973.

Adding to 4102344400 its reverse (44432014), we get a palindrome (4146776414).

The spelling of 4102344400 in words is "four billion, one hundred two million, three hundred forty-four thousand, four hundred".