4258417213440 has 1728 divisors, whose sum is σ = 17404617484800. Its totient is φ = 953986056192.

The previous prime is 4258417213319. The next prime is 4258417213441. The reversal of 4258417213440 is 443127148524.

4258417213440 is a `hidden beast` number, since 4 + 2 + 584 + 1 + 7 + 21 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258417213441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53904015321 + ... + 53904015399.

It is an arithmetic number, because the mean of its divisors is an integer number (10072116600).

Almost surely, 2^{4258417213440} is an apocalyptic number.

4258417213440 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 4258417213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702308742400).

4258417213440 is an abundant number, since it is smaller than the sum of its proper divisors (13146200271360).

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

4258417213440 is a wasteful number, since it uses less digits than its factorization.

4258417213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 4258417213440 in words is "four trillion, two hundred fifty-eight billion, four hundred seventeen million, two hundred thirteen thousand, four hundred forty".