4258408676544 has 2240 divisors, whose sum is σ = 16121146466304. Its totient is φ = 1094860800000.

The previous prime is 4258408676491. The next prime is 4258408676593. The reversal of 4258408676544 is 4456768048524.

It is a happy number.

4258408676544 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 4 + 0 + 86 + 7 + 6 + 544 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42162462094 + ... + 42162462194.

Almost surely, 2^{4258408676544} is an apocalyptic number.

4258408676544 is a gapful number since it is divisible by the number (44) 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 4258408676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060573233152).

4258408676544 is an abundant number, since it is smaller than the sum of its proper divisors (11862737789760).

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

4258408676544 is a wasteful number, since it uses less digits than its factorization.

4258408676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 4258408676544 in words is "four trillion, two hundred fifty-eight billion, four hundred eight million, six hundred seventy-six thousand, five hundred forty-four".