1011034510440 has 256 divisors, whose sum is σ = 3123550080000. Its totient is φ = 261704577024.

The previous prime is 1011034510411. The next prime is 1011034510459. The reversal of 1011034510440 is 440154301101.

It is a happy number.

1011034510440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1011034510440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288947811 + ... + 288951309.

It is an arithmetic number, because the mean of its divisors is an integer number (12201367500).

Almost surely, 2^{1011034510440} is an apocalyptic number.

1011034510440 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 1011034510440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561775040000).

1011034510440 is an abundant number, since it is smaller than the sum of its proper divisors (2112515569560).

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

1011034510440 is a wasteful number, since it uses less digits than its factorization.

1011034510440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1011034510440 its reverse (440154301101), we get a palindrome (1451188811541).

The spelling of 1011034510440 in words is "one trillion, eleven billion, thirty-four million, five hundred ten thousand, four hundred forty".