4252752188640 has 960 divisors, whose sum is σ = 16191691084800. Its totient is φ = 1047814631424.

The previous prime is 4252752188639. The next prime is 4252752188651. The reversal of 4252752188640 is 468812572524.

4252752188640 is a `hidden beast` number, since 4 + 2 + 52 + 7 + 521 + 8 + 8 + 64 + 0 = 666.

4252752188640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4849203882 + ... + 4849204758.

It is an arithmetic number, because the mean of its divisors is an integer number (16866344880).

Almost surely, 2^{4252752188640} is an apocalyptic number.

4252752188640 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 4252752188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095845542400).

4252752188640 is an abundant number, since it is smaller than the sum of its proper divisors (11938938896160).

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

4252752188640 is a wasteful number, since it uses less digits than its factorization.

4252752188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4252752188640 in words is "four trillion, two hundred fifty-two billion, seven hundred fifty-two million, one hundred eighty-eight thousand, six hundred forty".