1396380904128 has 1344 divisors, whose sum is σ = 5216124574080. Its totient is φ = 363860066304.

The previous prime is 1396380904123. The next prime is 1396380904151. The reversal of 1396380904128 is 8214090836931.

1396380904128 is a `hidden beast` number, since 1 + 3 + 9 + 63 + 80 + 90 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1396380904123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10192561276 + ... + 10192561412.

It is an arithmetic number, because the mean of its divisors is an integer number (3881045070).

Almost surely, 2^{1396380904128} is an apocalyptic number.

1396380904128 is a gapful number since it is divisible by the number (18) 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 1396380904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608062287040).

1396380904128 is an abundant number, since it is smaller than the sum of its proper divisors (3819743669952).

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

1396380904128 is a wasteful number, since it uses less digits than its factorization.

1396380904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1396380904128 in words is "one trillion, three hundred ninety-six billion, three hundred eighty million, nine hundred four thousand, one hundred twenty-eight".