144905810040 has 192 divisors, whose sum is σ = 478439395200. Its totient is φ = 38029694976.

The previous prime is 144905810017. The next prime is 144905810047. The reversal of 144905810040 is 40018509441.

144905810040 is a `hidden beast` number, since 14 + 490 + 58 + 100 + 4 + 0 = 666.

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 = 144905809977 and 144905810004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144905810047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9007444 + ... + 9023516.

It is an arithmetic number, because the mean of its divisors is an integer number (2491871850).

Almost surely, 2^144905810040 is an apocalyptic number.

144905810040 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 144905810040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239219697600).

144905810040 is an abundant number, since it is smaller than the sum of its proper divisors (333533585160).

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

144905810040 is a wasteful number, since it uses less digits than its factorization.

144905810040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 144905810040 in words is "one hundred forty-four billion, nine hundred five million, eight hundred ten thousand, forty".