145444505440 has 144 divisors (see below), whose sum is σ = 382371618384. Its totient is φ = 51969530880.

The previous prime is 145444505407. The next prime is 145444505447. The reversal of 145444505440 is 44505444541.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145444505393 and 145444505402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145444505447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1962499 + ... + 2035261.

It is an arithmetic number, because the mean of its divisors is an integer number (2655358461).

Almost surely, 2^145444505440 is an apocalyptic number.

145444505440 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 145444505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191185809192).

145444505440 is an abundant number, since it is smaller than the sum of its proper divisors (236927112944).

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

145444505440 is a wasteful number, since it uses less digits than its factorization.

145444505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72853 (or 72814 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 145444505440 its reverse (44505444541), we get a palindrome (189949949981).

The spelling of 145444505440 in words is "one hundred forty-five billion, four hundred forty-four million, five hundred five thousand, four hundred forty".