1024401024440 has 64 divisors (see below), whose sum is σ = 2365103331360. Its totient is φ = 399091732480.

The previous prime is 1024401024433. The next prime is 1024401024461. The reversal of 1024401024440 is 444201044201.

1024401024440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445847 + ... + 1499193.

Almost surely, 2^{1024401024440} is an apocalyptic number.

1024401024440 is a gapful number since it is divisible by the number (10) 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 1024401024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182551665680).

1024401024440 is an abundant number, since it is smaller than the sum of its proper divisors (1340702306920).

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

1024401024440 is a wasteful number, since it uses less digits than its factorization.

1024401024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053992 (or 1053988 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1024401024440 its reverse (444201044201), we get a palindrome (1468602068641).

The spelling of 1024401024440 in words is "one trillion, twenty-four billion, four hundred one million, twenty-four thousand, four hundred forty".