2240144414420 has 96 divisors (see below), whose sum is σ = 5271320388096. Its totient is φ = 792771408000.

The previous prime is 2240144414413. The next prime is 2240144414429. The reversal of 2240144414420 is 244144410422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240144414429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307895 + ... + 2138945.

It is an arithmetic number, because the mean of its divisors is an integer number (54909587376).

Almost surely, 2^{2240144414420} is an apocalyptic number.

2240144414420 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 2240144414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635660194048).

2240144414420 is an abundant number, since it is smaller than the sum of its proper divisors (3031175973676).

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

2240144414420 is a wasteful number, since it uses less digits than its factorization.

2240144414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831221 (or 1831219 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 2240144414420 its reverse (244144410422), we get a palindrome (2484288824842).

The spelling of 2240144414420 in words is "two trillion, two hundred forty billion, one hundred forty-four million, four hundred fourteen thousand, four hundred twenty".