3042753895440 has 320 divisors, whose sum is σ = 11981372428800. Its totient is φ = 695280623616.

The previous prime is 3042753895439. The next prime is 3042753895469. The reversal of 3042753895440 is 445983572403.

3042753895440 is a `hidden beast` number, since 3 + 0 + 42 + 7 + 53 + 8 + 9 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 54298156 + ... + 54354164.

It is an arithmetic number, because the mean of its divisors is an integer number (37441788840).

Almost surely, 2^{3042753895440} is an apocalyptic number.

3042753895440 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 3042753895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990686214400).

3042753895440 is an abundant number, since it is smaller than the sum of its proper divisors (8938618533360).

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

3042753895440 is a wasteful number, since it uses less digits than its factorization.

3042753895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59631 (or 59619 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3042753895440 in words is "three trillion, forty-two billion, seven hundred fifty-three million, eight hundred ninety-five thousand, four hundred forty".