440216125440 has 1632 divisors, whose sum is σ = 1907806561920. Its totient is φ = 85614133248.

The previous prime is 440216125423. The next prime is 440216125441. The reversal of 440216125440 is 44521612044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440216125441) 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, 11897733102 + ... + 11897733138.

Almost surely, 2^440216125440 is an apocalyptic number.

440216125440 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 440216125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953903280960).

440216125440 is an abundant number, since it is smaller than the sum of its proper divisors (1467590436480).

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

440216125440 is a wasteful number, since it uses less digits than its factorization.

440216125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 440216125440 its reverse (44521612044), we get a palindrome (484737737484).

The spelling of 440216125440 in words is "four hundred forty billion, two hundred sixteen million, one hundred twenty-five thousand, four hundred forty".