144420532377000 has 256 divisors, whose sum is σ = 492194275372800. Its totient is φ = 34965504000000.

The previous prime is 144420532376977. The next prime is 144420532377019. The reversal of 144420532377000 is 773235024441.

144420532377000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144420532377000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22531500 + ... + 28222500.

It is an arithmetic number, because the mean of its divisors is an integer number (1922633888175).

Almost surely, 2^{144420532377000} is an apocalyptic number.

144420532377000 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 144420532377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246097137686400).

144420532377000 is an abundant number, since it is smaller than the sum of its proper divisors (347773742995800).

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

144420532377000 is a wasteful number, since it uses less digits than its factorization.

144420532377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691805 (or 5691791 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 144420532377000 in words is "one hundred forty-four trillion, four hundred twenty billion, five hundred thirty-two million, three hundred seventy-seven thousand".