3042845245440 has 4320 divisors, whose sum is σ = 15663737456640. Its totient is φ = 535088332800.

The previous prime is 3042845245411. The next prime is 3042845245477. The reversal of 3042845245440 is 445425482403.

3042845245440 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 84 + 5 + 24 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 98156298225 + ... + 98156298255.

It is an arithmetic number, because the mean of its divisors is an integer number (3625865152).

Almost surely, 2^{3042845245440} is an apocalyptic number.

3042845245440 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 3042845245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831868728320).

3042845245440 is an abundant number, since it is smaller than the sum of its proper divisors (12620892211200).

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

3042845245440 is a wasteful number, since it uses less digits than its factorization.

3042845245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 3042845245440 in words is "three trillion, forty-two billion, eight hundred forty-five million, two hundred forty-five thousand, four hundred forty".