2434021105440 has 96 divisors (see below), whose sum is σ = 7667817768576. Its totient is φ = 649017159680.

The previous prime is 2434021105367. The next prime is 2434021105447. The reversal of 2434021105440 is 445011204342.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2434021105398 and 2434021105407.

It is not an unprimeable number, because it can be changed into a prime (2434021105447) 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 15 ways as a sum of consecutive naturals, for example, 5604925 + ... + 6023555.

It is an arithmetic number, because the mean of its divisors is an integer number (79873101756).

Almost surely, 2^{2434021105440} is an apocalyptic number.

2434021105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434021105440 is an abundant number, since it is smaller than the sum of its proper divisors (5233796663136).

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

2434021105440 is a wasteful number, since it uses less digits than its factorization.

2434021105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430762 (or 430754 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2434021105440 its reverse (445011204342), we get a palindrome (2879032309782).

The spelling of 2434021105440 in words is "two trillion, four hundred thirty-four billion, twenty-one million, one hundred five thousand, four hundred forty".