3014053240440 has 256 divisors, whose sum is σ = 10206690508800. Its totient is φ = 705319731200.

The previous prime is 3014053240423. The next prime is 3014053240441. The reversal of 3014053240440 is 440423504103.

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 = 3014053240398 and 3014053240407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014053240441) 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 63 ways as a sum of consecutive naturals, for example, 264547384 + ... + 264558776.

It is an arithmetic number, because the mean of its divisors is an integer number (39869884800).

Almost surely, 2^{3014053240440} is an apocalyptic number.

3014053240440 is a gapful number since it is divisible by the number (30) 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 3014053240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103345254400).

3014053240440 is an abundant number, since it is smaller than the sum of its proper divisors (7192637268360).

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

3014053240440 is a wasteful number, since it uses less digits than its factorization.

3014053240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18358 (or 18354 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3014053240440 its reverse (440423504103), we get a palindrome (3454476744543).

The spelling of 3014053240440 in words is "three trillion, fourteen billion, fifty-three million, two hundred forty thousand, four hundred forty".