144370045440 has 800 divisors, whose sum is σ = 549097426944. Its totient is φ = 36190126080.

The previous prime is 144370045433. The next prime is 144370045453. The reversal of 144370045440 is 44540073441.

144370045440 is a `hidden beast` number, since 1 + 4 + 43 + 70 + 0 + 4 + 544 + 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 = 144370045395 and 144370045404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237841617 + ... + 237842223.

Almost surely, 2^144370045440 is an apocalyptic number.

144370045440 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 144370045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274548713472).

144370045440 is an abundant number, since it is smaller than the sum of its proper divisors (404727381504).

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

144370045440 is an equidigital number, since it uses as much as digits as its factorization.

144370045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 144370045440 in words is "one hundred forty-four billion, three hundred seventy million, forty-five thousand, four hundred forty".