40846694112 has 288 divisors, whose sum is σ = 136579322880. Its totient is φ = 11336509440.

The previous prime is 40846694111. The next prime is 40846694113. The reversal of 40846694112 is 21149664804.

40846694112 is a `hidden beast` number, since 408 + 46 + 6 + 94 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (40846694111) and next prime (40846694113).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40846694111) 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, 21737589 + ... + 21739467.

It is an arithmetic number, because the mean of its divisors is an integer number (474233760).

Almost surely, 2^40846694112 is an apocalyptic number.

40846694112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40846694112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68289661440).

40846694112 is an abundant number, since it is smaller than the sum of its proper divisors (95732628768).

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

40846694112 is a wasteful number, since it uses less digits than its factorization.

40846694112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40846694112 in words is "forty billion, eight hundred forty-six million, six hundred ninety-four thousand, one hundred twelve".