4002341200 has 180 divisors, whose sum is σ = 11384048284. Its totient is φ = 1343232000.

The previous prime is 4002341179. The next prime is 4002341201. The reversal of 4002341200 is 21432004.

4002341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 820478736 + 3181862464 = 28644^2 + 56408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002341201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 626020 + ... + 632380.

Almost surely, 2^4002341200 is an apocalyptic number.

4002341200 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 4002341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5692024142).

4002341200 is an abundant number, since it is smaller than the sum of its proper divisors (7381707084).

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

4002341200 is a wasteful number, since it uses less digits than its factorization.

4002341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4002341200 is about 63264.0593070031. The cubic root of 4002341200 is about 1587.7106935102.

Adding to 4002341200 its reverse (21432004), we get a palindrome (4023773204).

The spelling of 4002341200 in words is "four billion, two million, three hundred forty-one thousand, two hundred".