1396166977296 has 640 divisors, whose sum is σ = 5154710077440. Its totient is φ = 351984310272.

The previous prime is 1396166977279. The next prime is 1396166977363. The reversal of 1396166977296 is 6927796616931.

1396166977296 is a `hidden beast` number, since 1 + 3 + 96 + 166 + 97 + 7 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79440766 + ... + 79458338.

It is an arithmetic number, because the mean of its divisors is an integer number (8054234496).

Almost surely, 2^{1396166977296} is an apocalyptic number.

1396166977296 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 1396166977296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577355038720).

1396166977296 is an abundant number, since it is smaller than the sum of its proper divisors (3758543100144).

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

1396166977296 is a wasteful number, since it uses less digits than its factorization.

1396166977296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700 (or 17688 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 1396166977296 in words is "one trillion, three hundred ninety-six billion, one hundred sixty-six million, nine hundred seventy-seven thousand, two hundred ninety-six".