20071043200 has 384 divisors, whose sum is σ = 57299613840. Its totient is φ = 6881280000.

The previous prime is 20071043189. The next prime is 20071043263. The reversal of 20071043200 is 234017002.

It can be written as a sum of positive squares in 24 ways, for example, as 741146176 + 19329897024 = 27224^2 + 139032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71427060 + ... + 71427340.

Almost surely, 2^20071043200 is an apocalyptic number.

20071043200 is a gapful number since it is divisible by the number (20) 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 20071043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28649806920).

20071043200 is an abundant number, since it is smaller than the sum of its proper divisors (37228570640).

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

20071043200 is a wasteful number, since it uses less digits than its factorization.

20071043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

It can be divided in two parts, 200 and 71043200, that multiplied together give a square (14208640000 = 119200²).

The spelling of 20071043200 in words is "twenty billion, seventy-one million, forty-three thousand, two hundred".