1408647480240 has 960 divisors, whose sum is σ = 6129387694080. Its totient is φ = 262876078080.

The previous prime is 1408647480173. The next prime is 1408647480241. The reversal of 1408647480240 is 420847468041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1408647480240.

It is not an unprimeable number, because it can be changed into a prime (1408647480241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62210841 + ... + 62233479.

It is an arithmetic number, because the mean of its divisors is an integer number (6384778848).

Almost surely, 2^{1408647480240} is an apocalyptic number.

1408647480240 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 1408647480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064693847040).

1408647480240 is an abundant number, since it is smaller than the sum of its proper divisors (4720740213840).

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

1408647480240 is a wasteful number, since it uses less digits than its factorization.

1408647480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22730 (or 22717 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 1408647480240 in words is "one trillion, four hundred eight billion, six hundred forty-seven million, four hundred eighty thousand, two hundred forty".