1725414013440 has 320 divisors, whose sum is σ = 6600265056000. Its totient is φ = 424717074432.

The previous prime is 1725414013429. The next prime is 1725414013441. The reversal of 1725414013440 is 443104145271.

1725414013440 is a `hidden beast` number, since 1 + 7 + 2 + 541 + 40 + 1 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 1725414013395 and 1725414013404.

It is not an unprimeable number, because it can be changed into a prime (1725414013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61540 + ... + 1858659.

It is an arithmetic number, because the mean of its divisors is an integer number (20625828300).

Almost surely, 2^{1725414013440} is an apocalyptic number.

1725414013440 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 1725414013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300132528000).

1725414013440 is an abundant number, since it is smaller than the sum of its proper divisors (4874851042560).

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

1725414013440 is a wasteful number, since it uses less digits than its factorization.

1725414013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920244 (or 1920222 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1725414013440 in words is "one trillion, seven hundred twenty-five billion, four hundred fourteen million, thirteen thousand, four hundred forty".