200448867041280 has 2736 divisors, whose sum is σ = 852928647165504. Its totient is φ = 44580502241280.

The previous prime is 200448867041279. The next prime is 200448867041323. The reversal of 200448867041280 is 82140768844002.

200448867041280 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 8 + 86 + 70 + 412 + 80 = 666.

It is a super-2 number, since 2×200448867041280² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1229747650479 + ... + 1229747650641.

Almost surely, 2^{200448867041280} is an apocalyptic number.

200448867041280 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 200448867041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426464323582752).

200448867041280 is an abundant number, since it is smaller than the sum of its proper divisors (652479780124224).

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

200448867041280 is an frugal number, since it uses more digits than its factorization.

200448867041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 200448867041280 in words is "two hundred trillion, four hundred forty-eight billion, eight hundred sixty-seven million, forty-one thousand, two hundred eighty".