1398939655680 has 640 divisors, whose sum is σ = 5735457192960. Its totient is φ = 316580659200.

The previous prime is 1398939655669. The next prime is 1398939655699. The reversal of 1398939655680 is 865569398931.

1398939655680 is a `hidden beast` number, since 1 + 39 + 8 + 9 + 39 + 6 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 1398939655599 and 1398939655608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48853527 + ... + 48882153.

It is an arithmetic number, because the mean of its divisors is an integer number (8961651864).

Almost surely, 2^{1398939655680} is an apocalyptic number.

1398939655680 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 1398939655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867728596480).

1398939655680 is an abundant number, since it is smaller than the sum of its proper divisors (4336517537280).

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

1398939655680 is a wasteful number, since it uses less digits than its factorization.

1398939655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28767 (or 28745 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 1398939655680 in words is "one trillion, three hundred ninety-eight billion, nine hundred thirty-nine million, six hundred fifty-five thousand, six hundred eighty".