1001421221440 has 56 divisors (see below), whose sum is σ = 2442796127352. Its totient is φ = 390798520320.

The previous prime is 1001421221417. The next prime is 1001421221459. The reversal of 1001421221440 is 441221241001.

It can be written as a sum of positive squares in 4 ways, for example, as 22999542336 + 978421679104 = 151656^2 + 989152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38150799 + ... + 38177038.

It is an arithmetic number, because the mean of its divisors is an integer number (43621359417).

Almost surely, 2^{1001421221440} is an apocalyptic number.

1001421221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001421221440 is an abundant number, since it is smaller than the sum of its proper divisors (1441374905912).

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

1001421221440 is an equidigital number, since it uses as much as digits as its factorization.

1001421221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76327895 (or 76327885 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1001421221440 its reverse (441221241001), we get a palindrome (1442642462441).

The spelling of 1001421221440 in words is "one trillion, one billion, four hundred twenty-one million, two hundred twenty-one thousand, four hundred forty".