4020570604800 has 1728 divisors, whose sum is σ = 16642934784000. Its totient is φ = 944645898240.

The previous prime is 4020570604793. The next prime is 4020570604871. The reversal of 4020570604800 is 84060750204.

4020570604800 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 570 + 6 + 0 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2794002481 + ... + 2794003919.

It is an arithmetic number, because the mean of its divisors is an integer number (9631328000).

Almost surely, 2^{4020570604800} is an apocalyptic number.

4020570604800 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 4020570604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321467392000).

4020570604800 is an abundant number, since it is smaller than the sum of its proper divisors (12622364179200).

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

4020570604800 is a wasteful number, since it uses less digits than its factorization.

4020570604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4020570604800 in words is "four trillion, twenty billion, five hundred seventy million, six hundred four thousand, eight hundred".