406906090259949 has 48 divisors (see below), whose sum is σ = 672372937716480. Its totient is φ = 232291067604480.

The previous prime is 406906090259947. The next prime is 406906090259957. The reversal of 406906090259949 is 949952090609604.

406906090259949 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 0 + 609 + 0 + 2 + 5 + 9 + 9 + 4 + 9 = 666.

It is not a de Polignac number, because 406906090259949 - 2¹ = 406906090259947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406906090259947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547908469 + ... + 2548068165.

It is an arithmetic number, because the mean of its divisors is an integer number (14007769535760).

Almost surely, 2^{406906090259949} is an apocalyptic number.

It is an amenable number.

406906090259949 is a deficient number, since it is larger than the sum of its proper divisors (265466847456531).

406906090259949 is a wasteful number, since it uses less digits than its factorization.

406906090259949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198890 (or 198887 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 406906090259949 in words is "four hundred six trillion, nine hundred six billion, ninety million, two hundred fifty-nine thousand, nine hundred forty-nine".