2011000444400 has 60 divisors (see below), whose sum is σ = 4910632374264. Its totient is φ = 791213280000.

The previous prime is 2011000444399. The next prime is 2011000444517. The reversal of 2011000444400 is 44440001102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41184626 + ... + 41233425.

Almost surely, 2^{2011000444400} is an apocalyptic number.

2011000444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000444400 is an abundant number, since it is smaller than the sum of its proper divisors (2899631929864).

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

2011000444400 is a wasteful number, since it uses less digits than its factorization.

2011000444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82418130 (or 82418119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2011000444400 its reverse (44440001102), we get a palindrome (2055440445502).

The spelling of 2011000444400 in words is "two trillion, eleven billion, four hundred forty-four thousand, four hundred".