144361342440 has 192 divisors, whose sum is σ = 538605849600. Its totient is φ = 32848782336.

The previous prime is 144361342439. The next prime is 144361342487. The reversal of 144361342440 is 44243163441.

144361342440 is a `hidden beast` number, since 14 + 4 + 3 + 613 + 4 + 24 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144361342395 and 144361342404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433516 + ... + 690404.

It is an arithmetic number, because the mean of its divisors is an integer number (2805238800).

Almost surely, 2^144361342440 is an apocalyptic number.

144361342440 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 144361342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269302924800).

144361342440 is an abundant number, since it is smaller than the sum of its proper divisors (394244507160).

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

144361342440 is a wasteful number, since it uses less digits than its factorization.

144361342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257136 (or 257129 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 144361342440 in words is "one hundred forty-four billion, three hundred sixty-one million, three hundred forty-two thousand, four hundred forty".