1005220421440 has 112 divisors (see below), whose sum is σ = 2426593023360. Its totient is φ = 396590028800.

The previous prime is 1005220421431. The next prime is 1005220421441. The reversal of 1005220421440 is 441240225001.

1005220421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005220421440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005220421441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8441031 + ... + 8559289.

Almost surely, 2^{1005220421440} is an apocalyptic number.

1005220421440 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 1005220421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213296511680).

1005220421440 is an abundant number, since it is smaller than the sum of its proper divisors (1421372601920).

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

1005220421440 is a wasteful number, since it uses less digits than its factorization.

1005220421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118640 (or 118630 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1005220421440 its reverse (441240225001), we get a palindrome (1446460646441).

The spelling of 1005220421440 in words is "one trillion, five billion, two hundred twenty million, four hundred twenty-one thousand, four hundred forty".