2041221442440 has 128 divisors (see below), whose sum is σ = 6277403059200. Its totient is φ = 530678599680.

The previous prime is 2041221442427. The next prime is 2041221442489. The reversal of 2041221442440 is 442441221402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2041221442398 and 2041221442407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6935724 + ... + 7224036.

It is an arithmetic number, because the mean of its divisors is an integer number (49042211400).

Almost surely, 2^{2041221442440} is an apocalyptic number.

2041221442440 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 2041221442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138701529600).

2041221442440 is an abundant number, since it is smaller than the sum of its proper divisors (4236181616760).

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

2041221442440 is a wasteful number, since it uses less digits than its factorization.

2041221442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289807 (or 289803 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 2041221442440 its reverse (442441221402), we get a palindrome (2483662663842).

The spelling of 2041221442440 in words is "two trillion, forty-one billion, two hundred twenty-one million, four hundred forty-two thousand, four hundred forty".