406749142921959 has 48 divisors (see below), whose sum is σ = 626081143117248. Its totient is φ = 253894651186176.

The previous prime is 406749142921931. The next prime is 406749142921981. The reversal of 406749142921959 is 959129241947604.

406749142921959 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 4 + 9 + 1 + 429 + 2 + 195 + 9 = 666.

It is not a de Polignac number, because 406749142921959 - 2¹⁶ = 406749142856423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406749142921999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38061264 + ... + 47562149.

It is an arithmetic number, because the mean of its divisors is an integer number (13043357148276).

Almost surely, 2^{406749142921959} is an apocalyptic number.

406749142921959 is a deficient number, since it is larger than the sum of its proper divisors (219332000195289).

406749142921959 is a wasteful number, since it uses less digits than its factorization.

406749142921959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85623928 (or 85623925 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 406749142921959 in words is "four hundred six trillion, seven hundred forty-nine billion, one hundred forty-two million, nine hundred twenty-one thousand, nine hundred fifty-nine".