144240420112320 has 448 divisors, whose sum is σ = 541637802777600. Its totient is φ = 31820414976000.

The previous prime is 144240420112319. The next prime is 144240420112337. The reversal of 144240420112320 is 23211024042441.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×144240420112320² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523894695 + ... + 524169945.

Almost surely, 2^{144240420112320} is an apocalyptic number.

144240420112320 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 144240420112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270818901388800).

144240420112320 is an abundant number, since it is smaller than the sum of its proper divisors (397397382665280).

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

144240420112320 is a wasteful number, since it uses less digits than its factorization.

144240420112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277996 (or 277986 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144240420112320 its reverse (23211024042441), we get a palindrome (167451444154761).

The spelling of 144240420112320 in words is "one hundred forty-four trillion, two hundred forty billion, four hundred twenty million, one hundred twelve thousand, three hundred twenty".