1397388780544 has 297 divisors, whose sum is σ = 3100008207121. Its totient is φ = 629450997760.

The previous prime is 1397388780511. The next prime is 1397388780559. The reversal of 1397388780544 is 4450878837931.

The square root of 1397388780544 is 1182112.

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

It can be written as a sum of positive squares in 13 ways, for example, as 754313094144 + 643075686400 = 868512^2 + 801920^2 .

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 1397388780544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26365826022 + ... + 26365826074.

Almost surely, 2^{1397388780544} is an apocalyptic number.

1397388780544 is the 1182112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397388780544

1397388780544 is an abundant number, since it is smaller than the sum of its proper divisors (1702619426577).

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

1397388780544 is an frugal number, since it uses more digits than its factorization.

1397388780544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 67.

The spelling of 1397388780544 in words is "one trillion, three hundred ninety-seven billion, three hundred eighty-eight million, seven hundred eighty thousand, five hundred forty-four".