2011000444431 has 32 divisors (see below), whose sum is σ = 3005645611776. Its totient is φ = 1185256800000.

The previous prime is 2011000444399. The next prime is 2011000444517. The reversal of 2011000444431 is 1344440001102.

It is not a de Polignac number, because 2011000444431 - 2⁵ = 2011000444399 is a prime.

It is a super-2 number, since 2×2011000444431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000440431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2045931 + ... + 2864931.

It is an arithmetic number, because the mean of its divisors is an integer number (93926425368).

Almost surely, 2^{2011000444431} is an apocalyptic number.

2011000444431 is a deficient number, since it is larger than the sum of its proper divisors (994645167345).

2011000444431 is a wasteful number, since it uses less digits than its factorization.

2011000444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821063.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2011000444431 its reverse (1344440001102), we get a palindrome (3355440445533).

The spelling of 2011000444431 in words is "two trillion, eleven billion, four hundred forty-four thousand, four hundred thirty-one".