4340145665400 has 384 divisors, whose sum is σ = 14718737940480. Its totient is φ = 1053489438720.

The previous prime is 4340145665357. The next prime is 4340145665423. The reversal of 4340145665400 is 45665410434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62991369 + ... + 63060231.

It is an arithmetic number, because the mean of its divisors is an integer number (38330046720).

Almost surely, 2^{4340145665400} is an apocalyptic number.

4340145665400 is a gapful number since it is divisible by the number (40) 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 4340145665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359368970240).

4340145665400 is an abundant number, since it is smaller than the sum of its proper divisors (10378592275080).

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

4340145665400 is a wasteful number, since it uses less digits than its factorization.

4340145665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69103 (or 69094 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 4340145665400 in words is "four trillion, three hundred forty billion, one hundred forty-five million, six hundred sixty-five thousand, four hundred".