440125352022240 has 288 divisors, whose sum is σ = 1505996920733760. Its totient is φ = 117048863735808.

The previous prime is 440125352022143. The next prime is 440125352022271. The reversal of 440125352022240 is 42220253521044.

440125352022240 is a `hidden beast` number, since 4 + 4 + 0 + 125 + 3 + 520 + 2 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 440125352022195 and 440125352022204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4365276469 + ... + 4365377291.

It is an arithmetic number, because the mean of its divisors is an integer number (5229155974770).

Almost surely, 2^{440125352022240} is an apocalyptic number.

440125352022240 is a gapful number since it is divisible by the number (40) 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 440125352022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752998460366880).

440125352022240 is an abundant number, since it is smaller than the sum of its proper divisors (1065871568711520).

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

440125352022240 is a wasteful number, since it uses less digits than its factorization.

440125352022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109026 (or 109015 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 440125352022240 in words is "four hundred forty trillion, one hundred twenty-five billion, three hundred fifty-two million, twenty-two thousand, two hundred forty".