144192020640 has 192 divisors, whose sum is σ = 456598622592. Its totient is φ = 38249164800.

The previous prime is 144192020579. The next prime is 144192020683. The reversal of 144192020640 is 46020291441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105018994 + ... + 105020366.

It is an arithmetic number, because the mean of its divisors is an integer number (2378117826).

Almost surely, 2^144192020640 is an apocalyptic number.

144192020640 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 144192020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228299311296).

144192020640 is an abundant number, since it is smaller than the sum of its proper divisors (312406601952).

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

144192020640 is a wasteful number, since it uses less digits than its factorization.

144192020640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 144192020640 in words is "one hundred forty-four billion, one hundred ninety-two million, twenty thousand, six hundred forty".