1396628486400 has 864 divisors, whose sum is σ = 5369211904000. Its totient is φ = 313130188800.

The previous prime is 1396628486369. The next prime is 1396628486401. The reversal of 1396628486400 is 46848266931.

It is a super-2 number, since 2×1396628486400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1396628486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2112902070 + ... + 2112902730.

Almost surely, 2^{1396628486400} is an apocalyptic number.

1396628486400 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 1396628486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684605952000).

1396628486400 is an abundant number, since it is smaller than the sum of its proper divisors (3972583417600).

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

1396628486400 is a wasteful number, since it uses less digits than its factorization.

1396628486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 1396628486400 in words is "one trillion, three hundred ninety-six billion, six hundred twenty-eight million, four hundred eighty-six thousand, four hundred".