144763664940 has 240 divisors, whose sum is σ = 482272449120. Its totient is φ = 36247357440.

The previous prime is 144763664923. The next prime is 144763664971. The reversal of 144763664940 is 49466367441.

144763664940 is a `hidden beast` number, since 1 + 447 + 63 + 66 + 49 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3457330 + ... + 3498950.

It is an arithmetic number, because the mean of its divisors is an integer number (2009468538).

Almost surely, 2^144763664940 is an apocalyptic number.

144763664940 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 144763664940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241136224560).

144763664940 is an abundant number, since it is smaller than the sum of its proper divisors (337508784180).

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

144763664940 is a wasteful number, since it uses less digits than its factorization.

144763664940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41774 (or 41763 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 144763664940 in words is "one hundred forty-four billion, seven hundred sixty-three million, six hundred sixty-four thousand, nine hundred forty".