145220410444400 has 120 divisors (see below), whose sum is σ = 353711318675520. Its totient is φ = 57287463367680.

The previous prime is 145220410444399. The next prime is 145220410444411. The reversal of 145220410444400 is 4444014022541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25093142 + ... + 30333258.

It is an arithmetic number, because the mean of its divisors is an integer number (2947594322296).

Almost surely, 2^{145220410444400} is an apocalyptic number.

145220410444400 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 145220410444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176855659337760).

145220410444400 is an abundant number, since it is smaller than the sum of its proper divisors (208490908231120).

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

145220410444400 is a wasteful number, since it uses less digits than its factorization.

145220410444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241091 (or 5241080 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 145220410444400 its reverse (4444014022541), we get a palindrome (149664424466941).

The spelling of 145220410444400 in words is "one hundred forty-five trillion, two hundred twenty billion, four hundred ten million, four hundred forty-four thousand, four hundred".