10416774271200 has 576 divisors, whose sum is σ = 38294956465920. Its totient is φ = 2436259840000.

The previous prime is 10416774271177. The next prime is 10416774271261. The reversal of 10416774271200 is 217247761401.

It is a happy number.

It is a super-2 number, since 2×10416774271200² (a number of 27 digits) contains 22 as substring.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 1110880912 + ... + 1110890288.

It is an arithmetic number, because the mean of its divisors is an integer number (66484299420).

Almost surely, 2^{10416774271200} is an apocalyptic number.

10416774271200 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 10416774271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19147478232960).

10416774271200 is an abundant number, since it is smaller than the sum of its proper divisors (27878182194720).

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

10416774271200 is a wasteful number, since it uses less digits than its factorization.

10416774271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 10416774271200 in words is "ten trillion, four hundred sixteen billion, seven hundred seventy-four million, two hundred seventy-one thousand, two hundred".