440400348528 has 160 divisors (see below), whose sum is σ = 1369138083840. Its totient is φ = 119164711680.

The previous prime is 440400348511. The next prime is 440400348529. The reversal of 440400348528 is 825843004044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 440400348528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440400348529) 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, 21356943 + ... + 21377553.

It is an arithmetic number, because the mean of its divisors is an integer number (8557113024).

Almost surely, 2^440400348528 is an apocalyptic number.

440400348528 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 440400348528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684569041920).

440400348528 is an abundant number, since it is smaller than the sum of its proper divisors (928737735312).

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

440400348528 is a wasteful number, since it uses less digits than its factorization.

440400348528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23995 (or 23989 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 440400348528 in words is "four hundred forty billion, four hundred million, three hundred forty-eight thousand, five hundred twenty-eight".