4102252000 has 384 divisors, whose sum is σ = 13246571520. Its totient is φ = 1209600000.

The previous prime is 4102251941. The next prime is 4102252003. The reversal of 4102252000 is 2522014.

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 (4102252003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5851650 + ... + 5852350.

It is an arithmetic number, because the mean of its divisors is an integer number (34496280).

Almost surely, 2^4102252000 is an apocalyptic number.

4102252000 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 4102252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623285760).

4102252000 is an abundant number, since it is smaller than the sum of its proper divisors (9144319520).

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

4102252000 is a wasteful number, since it uses less digits than its factorization.

4102252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4102252000 is about 64048.8251258366. The cubic root of 4102252000 is about 1600.8136486648.

Adding to 4102252000 its reverse (2522014), we get a palindrome (4104774014).

The spelling of 4102252000 in words is "four billion, one hundred two million, two hundred fifty-two thousand".