1021441440 has 96 divisors (see below), whose sum is σ = 3278330496. Its totient is φ = 267238400.

The previous prime is 1021441423. The next prime is 1021441457. The reversal of 1021441440 is 441441201.

It is an interprime number because it is at equal distance from previous prime (1021441423) and next prime (1021441457).

It is a tau number, because it is divible by the number of its divisors (96).

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, 5365 + ... + 45515.

It is an arithmetic number, because the mean of its divisors is an integer number (34149276).

Almost surely, 2^1021441440 is an apocalyptic number.

1021441440 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 1021441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639165248).

1021441440 is an abundant number, since it is smaller than the sum of its proper divisors (2256889056).

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

1021441440 is a wasteful number, since it uses less digits than its factorization.

1021441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40222 (or 40214 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1021441440 is about 31959.9974968710. The cubic root of 1021441440 is about 1007.0966648786.

Adding to 1021441440 its reverse (441441201), we get a palindrome (1462882641).

The spelling of 1021441440 in words is "one billion, twenty-one million, four hundred forty-one thousand, four hundred forty".