4252685281920 has 384 divisors, whose sum is σ = 15595140684240. Its totient is φ = 1064165179392.

The previous prime is 4252685281853. The next prime is 4252685281939. The reversal of 4252685281920 is 291825862524.

4252685281920 is a `hidden beast` number, since 4 + 2 + 5 + 26 + 8 + 528 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2509588252224 + 1743097029696 = 1584168^2 + 1320264^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 32934604 + ... + 33063476.

Almost surely, 2^{4252685281920} is an apocalyptic number.

4252685281920 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 4252685281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797570342120).

4252685281920 is an abundant number, since it is smaller than the sum of its proper divisors (11342455402320).

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

4252685281920 is a wasteful number, since it uses less digits than its factorization.

4252685281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129252 (or 129237 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 4252685281920 in words is "four trillion, two hundred fifty-two billion, six hundred eighty-five million, two hundred eighty-one thousand, nine hundred twenty".