5403800125440 has 360 divisors, whose sum is σ = 19378630547640. Its totient is φ = 1391317745664.

The previous prime is 5403800125379. The next prime is 5403800125453. The reversal of 5403800125440 is 445210083045.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11893211136 + 5391906914304 = 109056^2 + 2322048^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5403800125395 and 5403800125404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21254752 + ... + 21507488.

It is an arithmetic number, because the mean of its divisors is an integer number (53829529299).

Almost surely, 2^{5403800125440} 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 5403800125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689315273820).

5403800125440 is an abundant number, since it is smaller than the sum of its proper divisors (13974830422200).

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

5403800125440 is a wasteful number, since it uses less digits than its factorization.

5403800125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252805 (or 252776 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 5403800125440 in words is "five trillion, four hundred three billion, eight hundred million, one hundred twenty-five thousand, four hundred forty".