1078677311040 has 672 divisors, whose sum is σ = 4411296175104. Its totient is φ = 245768878080.

The previous prime is 1078677311017. The next prime is 1078677311071. The reversal of 1078677311040 is 401137768701.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180166927 + ... + 180172913.

It is an arithmetic number, because the mean of its divisors is an integer number (6564428832).

Almost surely, 2^{1078677311040} is an apocalyptic number.

1078677311040 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 1078677311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205648087552).

1078677311040 is an abundant number, since it is smaller than the sum of its proper divisors (3332618864064).

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

1078677311040 is an equidigital number, since it uses as much as digits as its factorization.

1078677311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1078677311040 in words is "one trillion, seventy-eight billion, six hundred seventy-seven million, three hundred eleven thousand, forty".