4158009915000 has 640 divisors, whose sum is σ = 13602700742400. Its totient is φ = 1057996800000.

The previous prime is 4158009914969. The next prime is 4158009915001. The reversal of 4158009915000 is 5199008514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4158009915001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5407034616 + ... + 5407035384.

It is an arithmetic number, because the mean of its divisors is an integer number (21254219910).

Almost surely, 2^{4158009915000} is an apocalyptic number.

4158009915000 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 4158009915000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801350371200).

4158009915000 is an abundant number, since it is smaller than the sum of its proper divisors (9444690827400).

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

4158009915000 is a wasteful number, since it uses less digits than its factorization.

4158009915000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 4158009915000 in words is "four trillion, one hundred fifty-eight billion, nine million, nine hundred fifteen thousand".