1011434024205 has 224 divisors, whose sum is σ = 2094874928640. Its totient is φ = 463424250240.

The previous prime is 1011434024203. The next prime is 1011434024231. The reversal of 1011434024205 is 5024204341101.

1011434024205 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 434 + 0 + 24 + 205 = 666.

It is not a de Polignac number, because 1011434024205 - 2¹ = 1011434024203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011434024203) 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 223 ways as a sum of consecutive naturals, for example, 355761514 + ... + 355764356.

Almost surely, 2^{1011434024205} is an apocalyptic number.

1011434024205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1011434024205 is an abundant number, since it is smaller than the sum of its proper divisors (1083440904435).

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

1011434024205 is a wasteful number, since it uses less digits than its factorization.

1011434024205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1011434024205 its reverse (5024204341101), we get a palindrome (6035638365306).

The spelling of 1011434024205 in words is "one trillion, eleven billion, four hundred thirty-four million, twenty-four thousand, two hundred five".