200861083463040 has 4608 divisors, whose sum is σ = 985222393344000. Its totient is φ = 38304799948800.

The previous prime is 200861083462997. The next prime is 200861083463071. The reversal of 200861083463040 is 40364380168002.

200861083463040 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 6 + 1 + 0 + 8 + 3 + 4 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 318321843525 + ... + 318321844155.

It is an arithmetic number, because the mean of its divisors is an integer number (213806943000).

Almost surely, 2^{200861083463040} is an apocalyptic number.

200861083463040 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 200861083463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492611196672000).

200861083463040 is an abundant number, since it is smaller than the sum of its proper divisors (784361309880960).

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

200861083463040 is a wasteful number, since it uses less digits than its factorization.

200861083463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 200861083463040 in words is "two hundred trillion, eight hundred sixty-one billion, eighty-three million, four hundred sixty-three thousand, forty".