440016450048 has 360 divisors, whose sum is σ = 1481094735120. Its totient is φ = 125391974400.

The previous prime is 440016449909. The next prime is 440016450053. The reversal of 440016450048 is 840054610044.

It is a happy number.

440016450048 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 1 + 645 + 0 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×440016450048² (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 = 440016449994 and 440016450021.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94604523 + ... + 94609173.

It is an arithmetic number, because the mean of its divisors is an integer number (4114152042).

Almost surely, 2^440016450048 is an apocalyptic number.

440016450048 is a gapful number since it is divisible by the number (48) 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 440016450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740547367560).

440016450048 is an abundant number, since it is smaller than the sum of its proper divisors (1041078285072).

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

440016450048 is a wasteful number, since it uses less digits than its factorization.

440016450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 440016450048 in words is "four hundred forty billion, sixteen million, four hundred fifty thousand, forty-eight".