4335425252000 has 192 divisors, whose sum is σ = 10728183866400. Its totient is φ = 1721832652800.

The previous prime is 4335425251981. The next prime is 4335425252017. The reversal of 4335425252000 is 2525245334.

It can be written as a sum of positive squares in 16 ways, for example, as 101065496464 + 4234359755536 = 317908^2 + 2057756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341661656 + ... + 341674344.

Almost surely, 2^{4335425252000} is an apocalyptic number.

4335425252000 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 4335425252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364091933200).

4335425252000 is an abundant number, since it is smaller than the sum of its proper divisors (6392758614400).

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

4335425252000 is a wasteful number, since it uses less digits than its factorization.

4335425252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13298 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 4335425252000 in words is "four trillion, three hundred thirty-five billion, four hundred twenty-five million, two hundred fifty-two thousand".