10406043072 has 84 divisors (see below), whose sum is σ = 29922856080. Its totient is φ = 3457539072.

The previous prime is 10406043071. The next prime is 10406043083. The reversal of 10406043072 is 27034060401.

10406043072 is a `hidden beast` number, since 10 + 40 + 604 + 3 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406043071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151429 + ... + 209147.

Almost surely, 2^10406043072 is an apocalyptic number.

10406043072 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 10406043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961428040).

10406043072 is an abundant number, since it is smaller than the sum of its proper divisors (19516813008).

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

10406043072 is a wasteful number, since it uses less digits than its factorization.

10406043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58050 (or 58037 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10406043072 in words is "ten billion, four hundred six million, forty-three thousand, seventy-two".