10406277171072 has 192 divisors, whose sum is σ = 30727250760960. Its totient is φ = 3378862126080.

The previous prime is 10406277171047. The next prime is 10406277171107. The reversal of 10406277171072 is 27017177260401.

10406277171072 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 627 + 7 + 1 + 7 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10406277171072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10968943 + ... + 11879825.

It is an arithmetic number, because the mean of its divisors is an integer number (160037764380).

Almost surely, 2^{10406277171072} is an apocalyptic number.

10406277171072 is a gapful number since it is divisible by the number (12) 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 10406277171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15363625380480).

10406277171072 is an abundant number, since it is smaller than the sum of its proper divisors (20320973589888).

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

10406277171072 is a wasteful number, since it uses less digits than its factorization.

10406277171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911161 (or 911146 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 10406277171072 in words is "ten trillion, four hundred six billion, two hundred seventy-seven million, one hundred seventy-one thousand, seventy-two".