10416970000 has 100 divisors (see below), whose sum is σ = 25635478396. Its totient is φ = 4098240000.

The previous prime is 10416969991. The next prime is 10416970007. The reversal of 10416970000 is 7961401.

It can be written as a sum of positive squares in 10 ways, for example, as 10131630336 + 285339664 = 100656^2 + 16892^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416970007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601462 + ... + 618538.

Almost surely, 2^10416970000 is an apocalyptic number.

10416970000 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 10416970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817739198).

10416970000 is an abundant number, since it is smaller than the sum of its proper divisors (15218508396).

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

10416970000 is an equidigital number, since it uses as much as digits as its factorization.

10416970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17166 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 10416970000 in words is "ten billion, four hundred sixteen million, nine hundred seventy thousand".