1408853808960 has 448 divisors, whose sum is σ = 4876795123200. Its totient is φ = 342522593280.

The previous prime is 1408853808899. The next prime is 1408853808961. The reversal of 1408853808960 is 698083588041.

It is a super-2 number, since 2×1408853808960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1408853808894 and 1408853808903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408853808961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577161340 + ... + 577163780.

It is an arithmetic number, because the mean of its divisors is an integer number (10885703400).

Almost surely, 2^{1408853808960} is an apocalyptic number.

1408853808960 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 1408853808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438397561600).

1408853808960 is an abundant number, since it is smaller than the sum of its proper divisors (3467941314240).

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

1408853808960 is a wasteful number, since it uses less digits than its factorization.

1408853808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 1408853808960 in words is "one trillion, four hundred eight billion, eight hundred fifty-three million, eight hundred eight thousand, nine hundred sixty".