145331430410400 has 2304 divisors, whose sum is σ = 573859502641152. Its totient is φ = 31595692032000.

The previous prime is 145331430410381. The next prime is 145331430410437. The reversal of 145331430410400 is 4014034133541.

It is a super-3 number, since 3×145331430410400³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 130108710642 + ... + 130108711758.

It is an arithmetic number, because the mean of its divisors is an integer number (249070964688).

Almost surely, 2^{145331430410400} is an apocalyptic number.

145331430410400 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 145331430410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286929751320576).

145331430410400 is an abundant number, since it is smaller than the sum of its proper divisors (428528072230752).

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

145331430410400 is a wasteful number, since it uses less digits than its factorization.

145331430410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 145331430410400 its reverse (4014034133541), we get a palindrome (149345464543941).

The spelling of 145331430410400 in words is "one hundred forty-five trillion, three hundred thirty-one billion, four hundred thirty million, four hundred ten thousand, four hundred".