1379166480000 has 1920 divisors, whose sum is σ = 5709279945600. Its totient is φ = 326430720000.

The previous prime is 1379166479969. The next prime is 1379166480019. The reversal of 1379166480000 is 846619731.

It is a happy number.

1379166480000 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 166 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19424879965 + ... + 19424880035.

It is an arithmetic number, because the mean of its divisors is an integer number (2973583305).

Almost surely, 2^{1379166480000} is an apocalyptic number.

1379166480000 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 1379166480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854639972800).

1379166480000 is an abundant number, since it is smaller than the sum of its proper divisors (4330113465600).

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

1379166480000 is an equidigital number, since it uses as much as digits as its factorization.

1379166480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1379166480000 in words is "one trillion, three hundred seventy-nine billion, one hundred sixty-six million, four hundred eighty thousand".