1379205712320 has 224 divisors, whose sum is σ = 4413742402368. Its totient is φ = 364875743232.

The previous prime is 1379205712303. The next prime is 1379205712337. The reversal of 1379205712320 is 232175029731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1379205712303) and next prime (1379205712337).

It is a super-2 number, since 2×1379205712320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101427762 + ... + 101441358.

Almost surely, 2^{1379205712320} is an apocalyptic number.

1379205712320 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 1379205712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206871201184).

1379205712320 is an abundant number, since it is smaller than the sum of its proper divisors (3034536690048).

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

1379205712320 is a wasteful number, since it uses less digits than its factorization.

1379205712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14447 (or 14437 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 1379205712320 in words is "one trillion, three hundred seventy-nine billion, two hundred five million, seven hundred twelve thousand, three hundred twenty".