40544692146 has 96 divisors (see below), whose sum is σ = 105527155968. Its totient is φ = 10999549440.

The previous prime is 40544692141. The next prime is 40544692151. The reversal of 40544692146 is 64129644504.

40544692146 is a `hidden beast` number, since 4 + 0 + 544 + 6 + 92 + 14 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40544692141) and next prime (40544692151).

It is a super-2 number, since 2×40544692146² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40544692141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 345966 + ... + 448086.

It is an arithmetic number, because the mean of its divisors is an integer number (1099241208).

Almost surely, 2^40544692146 is an apocalyptic number.

40544692146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40544692146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52763577984).

40544692146 is an abundant number, since it is smaller than the sum of its proper divisors (64982463822).

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

40544692146 is a wasteful number, since it uses less digits than its factorization.

40544692146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102296 (or 102293 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40544692146 in words is "forty billion, five hundred forty-four million, six hundred ninety-two thousand, one hundred forty-six".