440145314040000 has 560 divisors, whose sum is σ = 1459815222096000. Its totient is φ = 117002188800000.

The previous prime is 440145314039947. The next prime is 440145314040031. The reversal of 440145314040000 is 40413541044.

It is a super-2 number, since 2×440145314040000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 440145314040000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77888037175 + ... + 77888042825.

It is an arithmetic number, because the mean of its divisors is an integer number (2606812896600).

Almost surely, 2^{440145314040000} is an apocalyptic number.

440145314040000 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 440145314040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729907611048000).

440145314040000 is an abundant number, since it is smaller than the sum of its proper divisors (1019669908056000).

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

440145314040000 is a wasteful number, since it uses less digits than its factorization.

440145314040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 440145314040000 its reverse (40413541044), we get a palindrome (440185727581044).

The spelling of 440145314040000 in words is "four hundred forty trillion, one hundred forty-five billion, three hundred fourteen million, forty thousand".