201281438700 has 288 divisors, whose sum is σ = 676101726720. Its totient is φ = 51274080000.

The previous prime is 201281438663. The next prime is 201281438719. The reversal of 201281438700 is 7834182102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61912075 + ... + 61915325.

It is an arithmetic number, because the mean of its divisors is an integer number (2347575440).

Almost surely, 2^201281438700 is an apocalyptic number.

201281438700 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 201281438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338050863360).

201281438700 is an abundant number, since it is smaller than the sum of its proper divisors (474820288020).

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

201281438700 is a wasteful number, since it uses less digits than its factorization.

201281438700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 201281438700 its sum of digits (36), we get a square (201281438736 = 448644²).

The spelling of 201281438700 in words is "two hundred one billion, two hundred eighty-one million, four hundred thirty-eight thousand, seven hundred".