1398840468480 has 2816 divisors, whose sum is σ = 6719012536320. Its totient is φ = 267544166400.

The previous prime is 1398840468427. The next prime is 1398840468481. The reversal of 1398840468480 is 848640488931.

1398840468480 is a `hidden beast` number, since 1 + 3 + 98 + 8 + 4 + 0 + 4 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1398840468481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6629575575 + ... + 6629575785.

Almost surely, 2^{1398840468480} is an apocalyptic number.

1398840468480 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 1398840468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359506268160).

1398840468480 is an abundant number, since it is smaller than the sum of its proper divisors (5320172067840).

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

1398840468480 is a wasteful number, since it uses less digits than its factorization.

1398840468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 1398840468480 in words is "one trillion, three hundred ninety-eight billion, eight hundred forty million, four hundred sixty-eight thousand, four hundred eighty".