1398780472320 has 2464 divisors, whose sum is σ = 6515797118976. Its totient is φ = 279488102400.

The previous prime is 1398780472277. The next prime is 1398780472379. The reversal of 1398780472320 is 232740878931.

1398780472320 is a `hidden beast` number, since 1 + 3 + 98 + 7 + 80 + 472 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8909429682 + ... + 8909429838.

Almost surely, 2^{1398780472320} is an apocalyptic number.

1398780472320 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 1398780472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257898559488).

1398780472320 is an abundant number, since it is smaller than the sum of its proper divisors (5117016646656).

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

1398780472320 is a wasteful number, since it uses less digits than its factorization.

1398780472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1398780472320 in words is "one trillion, three hundred ninety-eight billion, seven hundred eighty million, four hundred seventy-two thousand, three hundred twenty".