440634161350416 has 160 divisors (see below), whose sum is σ = 1256333683176576. Its totient is φ = 131966110720000.

The previous prime is 440634161350363. The next prime is 440634161350417. The reversal of 440634161350416 is 614053161436044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (440634161350417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22286536 + ... + 37120856.

Almost surely, 2^{440634161350416} 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 440634161350416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628166841588288).

440634161350416 is an abundant number, since it is smaller than the sum of its proper divisors (815699521826160).

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

440634161350416 is a wasteful number, since it uses less digits than its factorization.

440634161350416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14835001 (or 14834995 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 440634161350416 in words is "four hundred forty trillion, six hundred thirty-four billion, one hundred sixty-one million, three hundred fifty thousand, four hundred sixteen".