40746650112 has 360 divisors, whose sum is σ = 138094209396. Its totient is φ = 11531649024.

The previous prime is 40746650111. The next prime is 40746650149. The reversal of 40746650112 is 21105664704.

It can be written as a sum of positive squares in 2 ways, for example, as 31832269056 + 8914381056 = 178416^2 + 94416^2 .

It is a super-2 number, since 2×40746650112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40746650111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25513698 + ... + 25515294.

Almost surely, 2^40746650112 is an apocalyptic number.

40746650112 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 40746650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69047104698).

40746650112 is an abundant number, since it is smaller than the sum of its proper divisors (97347559284).

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

40746650112 is a wasteful number, since it uses less digits than its factorization.

40746650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40746650112 in words is "forty billion, seven hundred forty-six million, six hundred fifty thousand, one hundred twelve".