144529640640 has 1008 divisors, whose sum is σ = 629869443840. Its totient is φ = 29774131200.

The previous prime is 144529640623. The next prime is 144529640657. The reversal of 144529640640 is 46046925441.

144529640640 is a `hidden beast` number, since 1 + 4 + 4 + 529 + 64 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144529640623) and next prime (144529640657).

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 436645275 + ... + 436645605.

It is an arithmetic number, because the mean of its divisors is an integer number (624870480).

Almost surely, 2^144529640640 is an apocalyptic number.

144529640640 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 144529640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314934721920).

144529640640 is an abundant number, since it is smaller than the sum of its proper divisors (485339803200).

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

144529640640 is a wasteful number, since it uses less digits than its factorization.

144529640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 144529640640 in words is "one hundred forty-four billion, five hundred twenty-nine million, six hundred forty thousand, six hundred forty".