2011003410420 has 144 divisors (see below), whose sum is σ = 6468647644368. Its totient is φ = 503958343680.

The previous prime is 2011003410419. The next prime is 2011003410461. The reversal of 2011003410420 is 240143001102.

2011003410420 is a `hidden beast` number, since 201 + 1 + 0 + 0 + 3 + 41 + 0 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 192680614116 + 1818322796304 = 438954^2 + 1348452^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011003410393 and 2011003410402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525542 + ... + 2519778.

It is an arithmetic number, because the mean of its divisors is an integer number (44921164197).

Almost surely, 2^{2011003410420} is an apocalyptic number.

2011003410420 is a gapful number since it is divisible by the number (20) 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 2011003410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234323822184).

2011003410420 is an abundant number, since it is smaller than the sum of its proper divisors (4457644233948).

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

2011003410420 is a wasteful number, since it uses less digits than its factorization.

2011003410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994930 (or 994925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011003410420 its reverse (240143001102), we get a palindrome (2251146411522).

The spelling of 2011003410420 in words is "two trillion, eleven billion, three million, four hundred ten thousand, four hundred twenty".