2011022400040 has 16 divisors (see below), whose sum is σ = 4524800400180. Its totient is φ = 804408960000.

The previous prime is 2011022400017. The next prime is 2011022400043. The reversal of 2011022400040 is 400042201102.

It can be written as a sum of positive squares in 2 ways, for example, as 1826914469956 + 184107930084 = 1351634^2 + 429078^2 .

It is a super-2 number, since 2×2011022400040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011022399987 and 2011022400023.

It is not an unprimeable number, because it can be changed into a prime (2011022400043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25137779961 + ... + 25137780040.

Almost surely, 2^{2011022400040} is an apocalyptic number.

2011022400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011022400040 is an abundant number, since it is smaller than the sum of its proper divisors (2513778000140).

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

2011022400040 is a wasteful number, since it uses less digits than its factorization.

2011022400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50275560012 (or 50275560008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2011022400040 its reverse (400042201102), we get a palindrome (2411064601142).

The spelling of 2011022400040 in words is "two trillion, eleven billion, twenty-two million, four hundred thousand, forty".