4305375405240 has 256 divisors, whose sum is σ = 16045343032320. Its totient is φ = 899897057280.

The previous prime is 4305375405211. The next prime is 4305375405271. The reversal of 4305375405240 is 425045735034.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4305375405192 and 4305375405201.

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 63 ways as a sum of consecutive naturals, for example, 673921 + ... + 3010800.

It is an arithmetic number, because the mean of its divisors is an integer number (62677121220).

Almost surely, 2^{4305375405240} is an apocalyptic number.

4305375405240 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 4305375405240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022671516160).

4305375405240 is an abundant number, since it is smaller than the sum of its proper divisors (11739967627080).

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

4305375405240 is a wasteful number, since it uses less digits than its factorization.

4305375405240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684862 (or 3684858 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 42.

The spelling of 4305375405240 in words is "four trillion, three hundred five billion, three hundred seventy-five million, four hundred five thousand, two hundred forty".