406850071104 has 147 divisors (see below), whose sum is σ = 1210870979193. Its totient is φ = 135570765312.

The previous prime is 406850071099. The next prime is 406850071127. The reversal of 406850071104 is 401170058604.

It is a happy number.

The square root of 406850071104 is 637848.

It is a perfect power (a square), and thus also a powerful number.

406850071104 is a `hidden beast` number, since 40 + 6 + 8 + 500 + 7 + 1 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331361409600 + 75488661504 = 575640^2 + 274752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 20 ways as a sum of consecutive naturals, for example, 137773692 + ... + 137776644.

Almost surely, 2^406850071104 is an apocalyptic number.

406850071104 is the 637848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406850071104

406850071104 is an abundant number, since it is smaller than the sum of its proper divisors (804020908089).

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

406850071104 is an frugal number, since it uses more digits than its factorization.

406850071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 406850071104 by its sum of digits (36), we get a square (14646602559744 = 3827088²).

406850071104 divided by its sum of digits (36) gives a square (11301390864 = 106308²).

The spelling of 406850071104 in words is "four hundred six billion, eight hundred fifty million, seventy-one thousand, one hundred four".