4205725627752 has 192 divisors, whose sum is σ = 13152281688000. Its totient is φ = 1200713932800.

The previous prime is 4205725627739. The next prime is 4205725627781. The reversal of 4205725627752 is 2577265275024.

4205725627752 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 7 + 2 + 5 + 627 + 7 + 5 + 2 = 666.

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, 1951624 + ... + 3495752.

It is an arithmetic number, because the mean of its divisors is an integer number (68501467125).

Almost surely, 2^{4205725627752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205725627752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576140844000).

4205725627752 is an abundant number, since it is smaller than the sum of its proper divisors (8946556060248).

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

4205725627752 is a wasteful number, since it uses less digits than its factorization.

4205725627752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544352 (or 1544345 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 4205725627752 in words is "four trillion, two hundred five billion, seven hundred twenty-five million, six hundred twenty-seven thousand, seven hundred fifty-two".