10446126474000 has 320 divisors, whose sum is σ = 38557231464960. Its totient is φ = 2383484313600.

The previous prime is 10446126473987. The next prime is 10446126474001. The reversal of 10446126474000 is 47462164401.

It is a self number, because there is not a number n which added to its sum of digits gives 10446126474000.

It is not an unprimeable number, because it can be changed into a prime (10446126474001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23679444 + ... + 24116556.

It is an arithmetic number, because the mean of its divisors is an integer number (120491348328).

Almost surely, 2^{10446126474000} is an apocalyptic number.

10446126474000 is a gapful number since it is divisible by the number (10) 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 10446126474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278615732480).

10446126474000 is an abundant number, since it is smaller than the sum of its proper divisors (28111104990960).

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

10446126474000 is a wasteful number, since it uses less digits than its factorization.

10446126474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437715 (or 437699 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 10446126474000 in words is "ten trillion, four hundred forty-six billion, one hundred twenty-six million, four hundred seventy-four thousand".