406734120670122 has 320 divisors, whose sum is σ = 1114505531842560. Its totient is φ = 108276214492800.

The previous prime is 406734120670121. The next prime is 406734120670123. The reversal of 406734120670122 is 221076021437604.

406734120670122 is a `hidden beast` number, since 40 + 6 + 7 + 3 + 412 + 0 + 6 + 70 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (406734120670121) and next prime (406734120670123).

It is not an unprimeable number, because it can be changed into a prime (406734120670121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20228473593 + ... + 20228493699.

It is an arithmetic number, because the mean of its divisors is an integer number (3482829787008).

Almost surely, 2^{406734120670122} is an apocalyptic number.

406734120670122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 406734120670122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557252765921280).

406734120670122 is an abundant number, since it is smaller than the sum of its proper divisors (707771411172438).

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

406734120670122 is a wasteful number, since it uses less digits than its factorization.

406734120670122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35599 (or 35590 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 406734120670122 in words is "four hundred six trillion, seven hundred thirty-four billion, one hundred twenty million, six hundred seventy thousand, one hundred twenty-two".