1379641161600 has 768 divisors, whose sum is σ = 5613040742400. Its totient is φ = 328640716800.

The previous prime is 1379641161551. The next prime is 1379641161629. The reversal of 1379641161600 is 61611469731.

1379641161600 is a `hidden beast` number, since 1 + 3 + 79 + 6 + 411 + 6 + 160 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34799389 + ... + 34839011.

It is an arithmetic number, because the mean of its divisors is an integer number (7308646800).

Almost surely, 2^{1379641161600} is an apocalyptic number.

1379641161600 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 1379641161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806520371200).

1379641161600 is an abundant number, since it is smaller than the sum of its proper divisors (4233399580800).

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

1379641161600 is a wasteful number, since it uses less digits than its factorization.

1379641161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39700 (or 39677 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1379641161600 in words is "one trillion, three hundred seventy-nine billion, six hundred forty-one million, one hundred sixty-one thousand, six hundred".