144070928640 has 504 divisors, whose sum is σ = 522777528000. Its totient is φ = 38020534272.

The previous prime is 144070928609. The next prime is 144070928681. The reversal of 144070928640 is 46829070441.

144070928640 is a `hidden beast` number, since 1 + 440 + 7 + 0 + 92 + 86 + 40 = 666.

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 55 ways as a sum of consecutive naturals, for example, 96110611 + ... + 96112109.

It is an arithmetic number, because the mean of its divisors is an integer number (1037257000).

Almost surely, 2^144070928640 is an apocalyptic number.

144070928640 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 144070928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261388764000).

144070928640 is an abundant number, since it is smaller than the sum of its proper divisors (378706599360).

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

144070928640 is an equidigital number, since it uses as much as digits as its factorization.

144070928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 144070928640 in words is "one hundred forty-four billion, seventy million, nine hundred twenty-eight thousand, six hundred forty".