441021031022040 has 256 divisors, whose sum is σ = 1553695569054720. Its totient is φ = 98032564500480.

The previous prime is 441021031022029. The next prime is 441021031022063. The reversal of 441021031022040 is 40220130120144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441021031022040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60351355 + ... + 67263125.

It is an arithmetic number, because the mean of its divisors is an integer number (6069123316620).

Almost surely, 2^{441021031022040} is an apocalyptic number.

441021031022040 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 441021031022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776847784527360).

441021031022040 is an abundant number, since it is smaller than the sum of its proper divisors (1112674538032680).

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

441021031022040 is a wasteful number, since it uses less digits than its factorization.

441021031022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913882 (or 6913878 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 441021031022040 its reverse (40220130120144), we get a palindrome (481241161142184).

The spelling of 441021031022040 in words is "four hundred forty-one trillion, twenty-one billion, thirty-one million, twenty-two thousand, forty".