4258138488000 has 896 divisors, whose sum is σ = 15862736148480. Its totient is φ = 1001067724800.

The previous prime is 4258138487989. The next prime is 4258138488067. The reversal of 4258138488000 is 8848318524.

It is a super-2 number, since 2×4258138488000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388050514 + ... + 388061486.

Almost surely, 2^{4258138488000} is an apocalyptic number.

4258138488000 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 4258138488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931368074240).

4258138488000 is an abundant number, since it is smaller than the sum of its proper divisors (11604597660480).

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

4258138488000 is a wasteful number, since it uses less digits than its factorization.

4258138488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11082 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 4258138488000 in words is "four trillion, two hundred fifty-eight billion, one hundred thirty-eight million, four hundred eighty-eight thousand".