1379037206016 has 480 divisors, whose sum is σ = 4549138925760. Its totient is φ = 399543631872.

The previous prime is 1379037205913. The next prime is 1379037206137. The reversal of 1379037206016 is 6106027309731.

1379037206016 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 0 + 37 + 2 + 0 + 601 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 52236916 + ... + 52263308.

It is an arithmetic number, because the mean of its divisors is an integer number (9477372762).

Almost surely, 2^{1379037206016} is an apocalyptic number.

1379037206016 is a gapful number since it is divisible by the number (16) 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 1379037206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274569462880).

1379037206016 is an abundant number, since it is smaller than the sum of its proper divisors (3170101719744).

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

1379037206016 is a wasteful number, since it uses less digits than its factorization.

1379037206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26486 (or 26467 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1379037206016 in words is "one trillion, three hundred seventy-nine billion, thirty-seven million, two hundred six thousand, sixteen".