4200572907828 has 480 divisors, whose sum is σ = 12337177036800. Its totient is φ = 1235567520000.

The previous prime is 4200572907757. The next prime is 4200572907859. The reversal of 4200572907828 is 8287092750024.

4200572907828 is a `hidden beast` number, since 42 + 0 + 0 + 572 + 9 + 0 + 7 + 8 + 28 = 666.

4200572907828 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, 6532772475 + ... + 6532773117.

It is an arithmetic number, because the mean of its divisors is an integer number (25702452160).

Almost surely, 2^{4200572907828} 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 4200572907828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168588518400).

4200572907828 is an abundant number, since it is smaller than the sum of its proper divisors (8136604128972).

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

4200572907828 is a wasteful number, since it uses less digits than its factorization.

4200572907828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 4200572907828 in words is "four trillion, two hundred billion, five hundred seventy-two million, nine hundred seven thousand, eight hundred twenty-eight".