5408872381440 has 3168 divisors, whose sum is σ = 23593576581120. Its totient is φ = 1182449664000.

The previous prime is 5408872381439. The next prime is 5408872381469. The reversal of 5408872381440 is 441832788045.

5408872381440 is a `hidden beast` number, since 5 + 40 + 8 + 87 + 2 + 3 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is a congruent number.

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, 88670039010 + ... + 88670039070.

Almost surely, 2^{5408872381440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408872381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796788290560).

5408872381440 is an abundant number, since it is smaller than the sum of its proper divisors (18184704199680).

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

5408872381440 is a wasteful number, since it uses less digits than its factorization.

5408872381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 5408872381440 in words is "five trillion, four hundred eight billion, eight hundred seventy-two million, three hundred eighty-one thousand, four hundred forty".