440377287168 has 640 divisors, whose sum is σ = 1537206612480. Its totient is φ = 108716359680.

The previous prime is 440377287149. The next prime is 440377287169. The reversal of 440377287168 is 861782773044.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (440377287169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572661888 + ... + 572662656.

It is an arithmetic number, because the mean of its divisors is an integer number (2401885332).

Almost surely, 2^440377287168 is an apocalyptic number.

440377287168 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 440377287168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768603306240).

440377287168 is an abundant number, since it is smaller than the sum of its proper divisors (1096829325312).

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

440377287168 is a wasteful number, since it uses less digits than its factorization.

440377287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 440377287168 in words is "four hundred forty billion, three hundred seventy-seven million, two hundred eighty-seven thousand, one hundred sixty-eight".