4211305252000 has 384 divisors, whose sum is σ = 13018832386560. Its totient is φ = 1300561920000.

The previous prime is 4211305251983. The next prime is 4211305252003. The reversal of 4211305252000 is 2525031124.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4211305252003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33509280 + ... + 33634720.

It is an arithmetic number, because the mean of its divisors is an integer number (33903209340).

Almost surely, 2^{4211305252000} is an apocalyptic number.

4211305252000 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 4211305252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509416193280).

4211305252000 is an abundant number, since it is smaller than the sum of its proper divisors (8807527134560).

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

4211305252000 is a wasteful number, since it uses less digits than its factorization.

4211305252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125593 (or 125575 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 4211305252000 in words is "four trillion, two hundred eleven billion, three hundred five million, two hundred fifty-two thousand".