1011412114432 has 176 divisors, whose sum is σ = 2119013460000. Its totient is φ = 481903837184.

The previous prime is 1011412114421. The next prime is 1011412114543. The reversal of 1011412114432 is 2344112141101.

It is a junction number, because it is equal to n+sod(n) for n = 1011412114397 and 1011412114406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792021378 + ... + 792022654.

Almost surely, 2^{1011412114432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011412114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059506730000).

1011412114432 is an abundant number, since it is smaller than the sum of its proper divisors (1107601345568).

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

1011412114432 is a wasteful number, since it uses less digits than its factorization.

1011412114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1011412114432 its reverse (2344112141101), we get a palindrome (3355524255533).

The spelling of 1011412114432 in words is "one trillion, eleven billion, four hundred twelve million, one hundred fourteen thousand, four hundred thirty-two".