13859078491440 has 1440 divisors, whose sum is σ = 61534413420480. Its totient is φ = 2763062378496.

The previous prime is 13859078491417. The next prime is 13859078491493. The reversal of 13859078491440 is 4419487095831.

13859078491440 is a `hidden beast` number, since 1 + 3 + 85 + 9 + 0 + 78 + 49 + 1 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3773229444 + ... + 3773233116.

It is an arithmetic number, because the mean of its divisors is an integer number (42732231542).

Almost surely, 2^{13859078491440} is an apocalyptic number.

13859078491440 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 13859078491440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30767206710240).

13859078491440 is an abundant number, since it is smaller than the sum of its proper divisors (47675334929040).

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

13859078491440 is a wasteful number, since it uses less digits than its factorization.

13859078491440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 13859078491440 in words is "thirteen trillion, eight hundred fifty-nine billion, seventy-eight million, four hundred ninety-one thousand, four hundred forty".