144009169920 has 1408 divisors, whose sum is σ = 649715834880. Its totient is φ = 29382082560.

The previous prime is 144009169873. The next prime is 144009169949. The reversal of 144009169920 is 29961900441.

144009169920 is a `hidden beast` number, since 14 + 400 + 91 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 883491759 + ... + 883491921.

Almost surely, 2^144009169920 is an apocalyptic number.

144009169920 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 144009169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324857917440).

144009169920 is an abundant number, since it is smaller than the sum of its proper divisors (505706664960).

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

144009169920 is a wasteful number, since it uses less digits than its factorization.

144009169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 144009169920 in words is "one hundred forty-four billion, nine million, one hundred sixty-nine thousand, nine hundred twenty".