1399432216576 has 51 divisors (see below), whose sum is σ = 2799448889673. Its totient is φ = 699564687360.

The previous prime is 1399432216573. The next prime is 1399432216577. The reversal of 1399432216576 is 6756122349931.

The square root of 1399432216576 is 1182976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 521538174976 + 877894041600 = 722176^2 + 936960^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1399432216576.

It is not an unprimeable number, because it can be changed into a prime (1399432216573) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 302839546 + ... + 302844166.

Almost surely, 2^{1399432216576} is an apocalyptic number.

1399432216576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1399432216576 is the 1182976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399432216576

1399432216576 is an abundant number, since it is smaller than the sum of its proper divisors (1400016673097).

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

1399432216576 is an frugal number, since it uses more digits than its factorization.

1399432216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 4623 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The spelling of 1399432216576 in words is "one trillion, three hundred ninety-nine billion, four hundred thirty-two million, two hundred sixteen thousand, five hundred seventy-six".