1398872217600 has 2592 divisors, whose sum is σ = 6262316686080. Its totient is φ = 295206912000.

The previous prime is 1398872217599. The next prime is 1398872217607. The reversal of 1398872217600 is 67122788931.

It is a happy number.

1398872217600 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 7 + 2 + 21 + 7 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398872217607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19702425565 + ... + 19702425635.

It is an arithmetic number, because the mean of its divisors is an integer number (2416017240).

Almost surely, 2^{1398872217600} is an apocalyptic number.

1398872217600 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 1398872217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131158343040).

1398872217600 is an abundant number, since it is smaller than the sum of its proper divisors (4863444468480).

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

1398872217600 is a wasteful number, since it uses less digits than its factorization.

1398872217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1398872217600 in words is "one trillion, three hundred ninety-eight billion, eight hundred seventy-two million, two hundred seventeen thousand, six hundred".