406150893612 has 144 divisors (see below), whose sum is σ = 1141322888160. Its totient is φ = 121189533696.

The previous prime is 406150893607. The next prime is 406150893613. The reversal of 406150893612 is 216398051604.

406150893612 is a `hidden beast` number, since 40 + 6 + 1 + 508 + 93 + 6 + 12 = 666.

It is a super-2 number, since 2×406150893612² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406150893613) 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, 1018338 + ... + 1359894.

It is an arithmetic number, because the mean of its divisors is an integer number (7925853390).

Almost surely, 2^406150893612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406150893612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570661444080).

406150893612 is an abundant number, since it is smaller than the sum of its proper divisors (735171994548).

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

406150893612 is a wasteful number, since it uses less digits than its factorization.

406150893612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341680 (or 341675 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 406150893612 in words is "four hundred six billion, one hundred fifty million, eight hundred ninety-three thousand, six hundred twelve".