1001000414220 has 48 divisors (see below), whose sum is σ = 2924662083840. Its totient is φ = 255327641536.

The previous prime is 1001000414159. The next prime is 1001000414237. The reversal of 1001000414220 is 224140001001.

It is a super-2 number, since 2×1001000414220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001000414220.

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, 362679930 + ... + 362682689.

It is an arithmetic number, because the mean of its divisors is an integer number (60930460080).

Almost surely, 2^{1001000414220} is an apocalyptic number.

1001000414220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000414220 is an abundant number, since it is smaller than the sum of its proper divisors (1923661669620).

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

1001000414220 is a wasteful number, since it uses less digits than its factorization.

1001000414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725362654 (or 725362652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1001000414220 its reverse (224140001001), we get a palindrome (1225140415221).

The spelling of 1001000414220 in words is "one trillion, one billion, four hundred fourteen thousand, two hundred twenty".