144405450420 has 768 divisors, whose sum is σ = 550430318592. Its totient is φ = 27373731840.

The previous prime is 144405450419. The next prime is 144405450421. The reversal of 144405450420 is 24054504441.

It is an interprime number because it is at equal distance from previous prime (144405450419) and next prime (144405450421).

It is a super-2 number, since 2×144405450420² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144405450421) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 470375907 + ... + 470376213.

It is an arithmetic number, because the mean of its divisors is an integer number (716706144).

Almost surely, 2^144405450420 is an apocalyptic number.

144405450420 is a gapful number since it is divisible by the number (10) 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 144405450420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275215159296).

144405450420 is an abundant number, since it is smaller than the sum of its proper divisors (406024868172).

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

144405450420 is a wasteful number, since it uses less digits than its factorization.

144405450420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 144405450420 its reverse (24054504441), we get a palindrome (168459954861).

The spelling of 144405450420 in words is "one hundred forty-four billion, four hundred five million, four hundred fifty thousand, four hundred twenty".