4106451006 has 80 divisors (see below), whose sum is σ = 10739874816. Its totient is φ = 1148293584.

The previous prime is 4106451001. The next prime is 4106451017. The reversal of 4106451006 is 6001546014.

4106451006 is a `hidden beast` number, since 4 + 1 + 0 + 645 + 10 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106451001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14775 + ... + 91821.

Almost surely, 2^4106451006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106451006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369937408).

4106451006 is an abundant number, since it is smaller than the sum of its proper divisors (6633423810).

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

4106451006 is a wasteful number, since it uses less digits than its factorization.

4106451006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77115 (or 77106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4106451006 is about 64081.5964688771. The cubic root of 4106451006 is about 1601.3596523366.

The spelling of 4106451006 in words is "four billion, one hundred six million, four hundred fifty-one thousand, six".