406101606642 has 80 divisors (see below), whose sum is σ = 917870671872. Its totient is φ = 134193386880.

The previous prime is 406101606623. The next prime is 406101606653. The reversal of 406101606642 is 246606101604.

406101606642 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 0 + 1 + 6 + 0 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 406101606597 and 406101606606.

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 39 ways as a sum of consecutive naturals, for example, 27993963 + ... + 28008465.

Almost surely, 2^406101606642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406101606642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458935335936).

406101606642 is an abundant number, since it is smaller than the sum of its proper divisors (511769065230).

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

406101606642 is a wasteful number, since it uses less digits than its factorization.

406101606642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 15996 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 406101606642 in words is "four hundred six billion, one hundred one million, six hundred six thousand, six hundred forty-two".