1011140305440 has 96 divisors (see below), whose sum is σ = 3252859948800. Its totient is φ = 263900442624.

The previous prime is 1011140305411. The next prime is 1011140305529. The reversal of 1011140305440 is 445030411101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 1011140305440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22387465 + ... + 22432584.

It is an arithmetic number, because the mean of its divisors is an integer number (33883957800).

Almost surely, 2^{1011140305440} is an apocalyptic number.

1011140305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011140305440 is an abundant number, since it is smaller than the sum of its proper divisors (2241719643360).

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

1011140305440 is a wasteful number, since it uses less digits than its factorization.

1011140305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44820114 (or 44820106 counting only the distinct ones).

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

Adding to 1011140305440 its reverse (445030411101), we get a palindrome (1456170716541).

The spelling of 1011140305440 in words is "one trillion, eleven billion, one hundred forty million, three hundred five thousand, four hundred forty".