1078142800224 has 48 divisors (see below), whose sum is σ = 3234428402688. Its totient is φ = 308040799872.

The previous prime is 1078142800201. The next prime is 1078142800253. The reversal of 1078142800224 is 4220082418701.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 802188912 + ... + 802190255.

It is an arithmetic number, because the mean of its divisors is an integer number (67383925056).

Almost surely, 2^{1078142800224} is an apocalyptic number.

1078142800224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1078142800224 is an abundant number, since it is smaller than the sum of its proper divisors (2156285602464).

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

1078142800224 is a wasteful number, since it uses less digits than its factorization.

1078142800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604379187 (or 1604379179 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 1078142800224 in words is "one trillion, seventy-eight billion, one hundred forty-two million, eight hundred thousand, two hundred twenty-four".