10446212639940 has 1152 divisors, whose sum is σ = 39878067640320. Its totient is φ = 2014245273600.

The previous prime is 10446212639917. The next prime is 10446212640011. The reversal of 10446212639940 is 4993621264401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12631453807 + ... + 12631454633.

It is an arithmetic number, because the mean of its divisors is an integer number (34616378160).

Almost surely, 2^{10446212639940} is an apocalyptic number.

10446212639940 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 10446212639940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939033820160).

10446212639940 is an abundant number, since it is smaller than the sum of its proper divisors (29431855000380).

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

10446212639940 is a wasteful number, since it uses less digits than its factorization.

10446212639940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 10446212639940 in words is "ten trillion, four hundred forty-six billion, two hundred twelve million, six hundred thirty-nine thousand, nine hundred forty".