1379358086400 has 648 divisors, whose sum is σ = 5677384999104. Its totient is φ = 312967987200.

The previous prime is 1379358086389. The next prime is 1379358086401. The reversal of 1379358086400 is 46808539731.

1379358086400 is a `hidden beast` number, since 13 + 7 + 9 + 3 + 580 + 8 + 6 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1379358086401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55225915 + ... + 55250885.

Almost surely, 2^{1379358086400} is an apocalyptic number.

1379358086400 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 1379358086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838692499552).

1379358086400 is an abundant number, since it is smaller than the sum of its proper divisors (4298026912704).

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

1379358086400 is a wasteful number, since it uses less digits than its factorization.

1379358086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147 (or 25125 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1379358086400 in words is "one trillion, three hundred seventy-nine billion, three hundred fifty-eight million, eighty-six thousand, four hundred".