201150320400 has 90 divisors (see below), whose sum is σ = 698047499370. Its totient is φ = 53640084480.

The previous prime is 201150320389. The next prime is 201150320473. The reversal of 201150320400 is 4023051102.

It can be written as a sum of positive squares in 3 ways, for example, as 5513953536 + 195636366864 = 74256^2 + 442308^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×201150320400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27933945 + ... + 27941144.

Almost surely, 2^201150320400 is an apocalyptic number.

201150320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201150320400 is an abundant number, since it is smaller than the sum of its proper divisors (496897178970).

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

201150320400 is a wasteful number, since it uses less digits than its factorization.

201150320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55875113 (or 55875099 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 201150320400 its reverse (4023051102), we get a palindrome (205173371502).

The spelling of 201150320400 in words is "two hundred one billion, one hundred fifty million, three hundred twenty thousand, four hundred".