10406831774976 has 1152 divisors, whose sum is σ = 39084053299200. Its totient is φ = 2657884078080.

The previous prime is 10406831774897. The next prime is 10406831775001. The reversal of 10406831774976 is 67947713860401.

10406831774976 is a `hidden beast` number, since 1 + 0 + 40 + 6 + 8 + 31 + 77 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5562175321 + ... + 5562177191.

It is an arithmetic number, because the mean of its divisors is an integer number (33927129600).

Almost surely, 2^{10406831774976} is an apocalyptic number.

10406831774976 is a gapful number since it is divisible by the number (16) 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 10406831774976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19542026649600).

10406831774976 is an abundant number, since it is smaller than the sum of its proper divisors (28677221524224).

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

10406831774976 is a wasteful number, since it uses less digits than its factorization.

10406831774976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 10406831774976 in words is "ten trillion, four hundred six billion, eight hundred thirty-one million, seven hundred seventy-four thousand, nine hundred seventy-six".