145430438400 has 1080 divisors, whose sum is σ = 593741568420. Its totient is φ = 33788067840.

The previous prime is 145430438371. The next prime is 145430438401. The reversal of 145430438400 is 4834034541.

145430438400 is a `hidden beast` number, since 145 + 43 + 0 + 438 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4931410176 + 140499028224 = 70224^2 + 374832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145430438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 540633466 + ... + 540633734.

Almost surely, 2^145430438400 is an apocalyptic number.

145430438400 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 145430438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296870784210).

145430438400 is an abundant number, since it is smaller than the sum of its proper divisors (448311130020).

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

145430438400 is a wasteful number, since it uses less digits than its factorization.

145430438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 311 counting only the distinct ones).

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

The spelling of 145430438400 in words is "one hundred forty-five billion, four hundred thirty million, four hundred thirty-eight thousand, four hundred".