201040040000 has 70 divisors (see below), whose sum is σ = 498514060374. Its totient is φ = 80416000000.

The previous prime is 201040039999. The next prime is 201040040057. The reversal of 201040040000 is 40040102.

It can be written as a sum of positive squares in 5 ways, for example, as 134583324736 + 66456715264 = 366856^2 + 257792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2473001 + ... + 2553000.

Almost surely, 2^201040040000 is an apocalyptic number.

201040040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201040040000 is an abundant number, since it is smaller than the sum of its proper divisors (297474020374).

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

201040040000 is an frugal number, since it uses more digits than its factorization.

201040040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026033 (or 5026008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 201040040000 its reverse (40040102), we get a palindrome (201080080102).

The spelling of 201040040000 in words is "two hundred one billion, forty million, forty thousand".