4210752000 has 640 divisors, whose sum is σ = 17301892608. Its totient is φ = 884736000.

The previous prime is 4210751989. The next prime is 4210752023. The reversal of 4210752000 is 2570124.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471880 + ... + 17472120.

Almost surely, 2^4210752000 is an apocalyptic number.

4210752000 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 4210752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650946304).

4210752000 is an abundant number, since it is smaller than the sum of its proper divisors (13091140608).

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

4210752000 is a wasteful number, since it uses less digits than its factorization.

4210752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 4210752000 is about 64890.3074426374. The cubic root of 4210752000 is about 1614.8042652743.

The spelling of 4210752000 in words is "four billion, two hundred ten million, seven hundred fifty-two thousand".