144384215040 has 1152 divisors, whose sum is σ = 591370416000. Its totient is φ = 33209450496.

The previous prime is 144384215029. The next prime is 144384215051. The reversal of 144384215040 is 40512483441.

144384215040 is a `hidden beast` number, since 1 + 4 + 438 + 4 + 215 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144384215029) and next prime (144384215051).

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 144384214986 and 144384215004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1038735291 + ... + 1038735429.

It is an arithmetic number, because the mean of its divisors is an integer number (513342375).

Almost surely, 2^144384215040 is an apocalyptic number.

144384215040 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 144384215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295685208000).

144384215040 is an abundant number, since it is smaller than the sum of its proper divisors (446986200960).

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

144384215040 is a wasteful number, since it uses less digits than its factorization.

144384215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 144384215040 its reverse (40512483441), we get a palindrome (184896698481).

The spelling of 144384215040 in words is "one hundred forty-four billion, three hundred eighty-four million, two hundred fifteen thousand, forty".