145430231410440 has 192 divisors, whose sum is σ = 475159339128240. Its totient is φ = 38575409725440.

The previous prime is 145430231410417. The next prime is 145430231410463. The reversal of 145430231410440 is 44014132034541.

It is a happy number.

145430231410440 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 3 + 0 + 231 + 410 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145430231410417) and next prime (145430231410463).

It can be written as a sum of positive squares in 8 ways, for example, as 144188797284 + 145286042613156 = 379722^2 + 12053466^2 .

It is a super-2 number, since 2×145430231410440² (a number of 29 digits) contains 22 as substring.

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 = 145430231410395 and 145430231410404.

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 47 ways as a sum of consecutive naturals, for example, 546883110 + ... + 547148970.

Almost surely, 2^{145430231410440} is an apocalyptic number.

145430231410440 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 145430231410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237579669564120).

145430231410440 is an abundant number, since it is smaller than the sum of its proper divisors (329729107717800).

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

145430231410440 is a wasteful number, since it uses less digits than its factorization.

145430231410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273944 (or 273937 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 145430231410440 its reverse (44014132034541), we get a palindrome (189444363444981).

The spelling of 145430231410440 in words is "one hundred forty-five trillion, four hundred thirty billion, two hundred thirty-one million, four hundred ten thousand, four hundred forty".