1397788418880 has 1344 divisors, whose sum is σ = 6036096314880. Its totient is φ = 298192306176.

The previous prime is 1397788418867. The next prime is 1397788418881. The reversal of 1397788418880 is 888148877931.

1397788418880 is a `hidden beast` number, since 1 + 397 + 7 + 8 + 84 + 1 + 88 + 80 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 1397788418799 and 1397788418808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397788418881) 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, 1593829002 + ... + 1593829878.

Almost surely, 2^{1397788418880} is an apocalyptic number.

1397788418880 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 1397788418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018048157440).

1397788418880 is an abundant number, since it is smaller than the sum of its proper divisors (4638307896000).

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

1397788418880 is a wasteful number, since it uses less digits than its factorization.

1397788418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 72.

The spelling of 1397788418880 in words is "one trillion, three hundred ninety-seven billion, seven hundred eighty-eight million, four hundred eighteen thousand, eight hundred eighty".