4252102400 has 432 divisors, whose sum is σ = 13306440000. Its totient is φ = 1336688640.

The previous prime is 4252102381. The next prime is 4252102411. The reversal of 4252102400 is 42012524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28537526 + ... + 28537674.

Almost surely, 2^4252102400 is an apocalyptic number.

4252102400 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 4252102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653220000).

4252102400 is an abundant number, since it is smaller than the sum of its proper divisors (9054337600).

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

4252102400 is a wasteful number, since it uses less digits than its factorization.

4252102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4252102400 is about 65208.1467302974. The cubic root of 4252102400 is about 1620.0729530730.

Adding to 4252102400 its reverse (42012524), we get a palindrome (4294114924).

The spelling of 4252102400 in words is "four billion, two hundred fifty-two million, one hundred two thousand, four hundred".