440016445440 has 1344 divisors, whose sum is σ = 1901231160192. Its totient is φ = 92484403200.

The previous prime is 440016445409. The next prime is 440016445441. The reversal of 440016445440 is 44544610044.

440016445440 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 1 + 644 + 5 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×440016445440² (a number of 24 digits) contains 22 as substring.

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 = 440016445395 and 440016445404.

It is not an unprimeable number, because it can be changed into a prime (440016445441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 896163595 + ... + 896164085.

It is an arithmetic number, because the mean of its divisors is an integer number (1414606518).

Almost surely, 2^440016445440 is an apocalyptic number.

440016445440 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 440016445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950615580096).

440016445440 is an abundant number, since it is smaller than the sum of its proper divisors (1461214714752).

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

440016445440 is a wasteful number, since it uses less digits than its factorization.

440016445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 440016445440 in words is "four hundred forty billion, sixteen million, four hundred forty-five thousand, four hundred forty".