10406054368944 has 960 divisors, whose sum is σ = 34975431429120. Its totient is φ = 2966873702400.

The previous prime is 10406054368943. The next prime is 10406054368949. The reversal of 10406054368944 is 44986345060401.

10406054368944 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 0 + 543 + 6 + 8 + 94 + 4 = 666.

10406054368944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10406054368943) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18034755984 + ... + 18034756560.

It is an arithmetic number, because the mean of its divisors is an integer number (36432741072).

Almost surely, 2^{10406054368944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406054368944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487715714560).

10406054368944 is an abundant number, since it is smaller than the sum of its proper divisors (24569377060176).

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

10406054368944 is a wasteful number, since it uses less digits than its factorization.

10406054368944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 10406054368944 in words is "ten trillion, four hundred six billion, fifty-four million, three hundred sixty-eight thousand, nine hundred forty-four".