2026396416000 has 768 divisors, whose sum is σ = 7675652275200. Its totient is φ = 469843968000.

The previous prime is 2026396415987. The next prime is 2026396416019. The reversal of 2026396416000 is 6146936202.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 2026396416000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194298786 + ... + 194309214.

It is an arithmetic number, because the mean of its divisors is an integer number (9994338900).

Almost surely, 2^{2026396416000} is an apocalyptic number.

2026396416000 is a gapful number since it is divisible by the number (20) 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 2026396416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837826137600).

2026396416000 is an abundant number, since it is smaller than the sum of its proper divisors (5649255859200).

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

2026396416000 is a wasteful number, since it uses less digits than its factorization.

2026396416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 2026396416000 in words is "two trillion, twenty-six billion, three hundred ninety-six million, four hundred sixteen thousand".