1011434024440 has 128 divisors (see below), whose sum is σ = 2638803640320. Its totient is φ = 341719257600.

The previous prime is 1011434024437. The next prime is 1011434024443. The reversal of 1011434024440 is 444204341101.

It is an interprime number because it is at equal distance from previous prime (1011434024437) and next prime (1011434024443).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1011434024399 and 1011434024408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011434024443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42590970 + ... + 42614710.

It is an arithmetic number, because the mean of its divisors is an integer number (20615653440).

Almost surely, 2^{1011434024440} is an apocalyptic number.

1011434024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011434024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319401820160).

1011434024440 is an abundant number, since it is smaller than the sum of its proper divisors (1627369615880).

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

1011434024440 is a wasteful number, since it uses less digits than its factorization.

1011434024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25973 (or 25969 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1011434024440 its reverse (444204341101), we get a palindrome (1455638365541).

The spelling of 1011434024440 in words is "one trillion, eleven billion, four hundred thirty-four million, twenty-four thousand, four hundred forty".