1040221414144 has 144 divisors (see below), whose sum is σ = 2360133216000. Its totient is φ = 453234216960.

The previous prime is 1040221414117. The next prime is 1040221414157. The reversal of 1040221414144 is 4414141220401.

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, 11305477 + ... + 11397115.

It is an arithmetic number, because the mean of its divisors is an integer number (16389814000).

Almost surely, 2^{1040221414144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040221414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180066608000).

1040221414144 is an abundant number, since it is smaller than the sum of its proper divisors (1319911801856).

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

1040221414144 is a wasteful number, since it uses less digits than its factorization.

1040221414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91834 (or 91820 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1040221414144 its reverse (4414141220401), we get a palindrome (5454362634545).

It can be divided in two parts, 1040221 and 414144, that added together give a triangular number (1454365 = T₁₇₀₅).

The spelling of 1040221414144 in words is "one trillion, forty billion, two hundred twenty-one million, four hundred fourteen thousand, one hundred forty-four".