10406916000000 has 1512 divisors, whose sum is σ = 41552471090312. Its totient is φ = 2488320000000.

The previous prime is 10406915999993. The next prime is 10406916000029. The reversal of 10406916000000 is 61960401.

10406916000000 is a `hidden beast` number, since 10 + 40 + 6 + 9 + 1 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 28 ways, for example, as 7100221061376 + 3306694938624 = 2664624^2 + 1818432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 17315999700 + ... + 17316000300.

Almost surely, 2^{10406916000000} is an apocalyptic number.

10406916000000 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 10406916000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776235545156).

10406916000000 is an abundant number, since it is smaller than the sum of its proper divisors (31145555090312).

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

10406916000000 is an frugal number, since it uses more digits than its factorization.

10406916000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10406916000000 its reverse (61960401), we get a palindrome (10406977960401).

The spelling of 10406916000000 in words is "ten trillion, four hundred six billion, nine hundred sixteen million", and thus it is an aban number.