4258230782400 has 2520 divisors, whose sum is σ = 19726123697280. Its totient is φ = 880103854080.

The previous prime is 4258230782371. The next prime is 4258230782411. The reversal of 4258230782400 is 42870328524.

4258230782400 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 230 + 7 + 8 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×4258230782400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9118266967 + ... + 9118267433.

It is an arithmetic number, because the mean of its divisors is an integer number (7827826864).

Almost surely, 2^{4258230782400} is an apocalyptic number.

4258230782400 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 4258230782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863061848640).

4258230782400 is an abundant number, since it is smaller than the sum of its proper divisors (15467892914880).

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

4258230782400 is a wasteful number, since it uses less digits than its factorization.

4258230782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 526 counting only the distinct ones).

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

The spelling of 4258230782400 in words is "four trillion, two hundred fifty-eight billion, two hundred thirty million, seven hundred eighty-two thousand, four hundred".