1048078080000 has 1440 divisors, whose sum is σ = 4442369611680. Its totient is φ = 232980480000.

The previous prime is 1048078079977. The next prime is 1048078080097. The reversal of 1048078080000 is 808708401.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3306239842 + ... + 3306240158.

It is an arithmetic number, because the mean of its divisors is an integer number (3084978897).

Almost surely, 2^{1048078080000} is an apocalyptic number.

1048078080000 is a gapful number since it is divisible by the number (10) 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 1048078080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221184805840).

1048078080000 is an abundant number, since it is smaller than the sum of its proper divisors (3394291531680).

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

1048078080000 is an equidigital number, since it uses as much as digits as its factorization.

1048078080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1048078080000 in words is "one trillion, forty-eight billion, seventy-eight million, eighty thousand".