40146368344992 has 384 divisors, whose sum is σ = 144663209349120. Its totient is φ = 10547788999680.

The previous prime is 40146368344961. The next prime is 40146368344993. The reversal of 40146368344992 is 29944386364104.

40146368344992 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 63 + 6 + 83 + 4 + 499 + 2 = 666.

It is a super-2 number, since 2×40146368344992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40146368344993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19707367 + ... + 21648857.

It is an arithmetic number, because the mean of its divisors is an integer number (376727107680).

Almost surely, 2^{40146368344992} is an apocalyptic number.

40146368344992 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 40146368344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72331604674560).

40146368344992 is an abundant number, since it is smaller than the sum of its proper divisors (104516841004128).

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

40146368344992 is a wasteful number, since it uses less digits than its factorization.

40146368344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941793 (or 1941779 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 40146368344992 in words is "forty trillion, one hundred forty-six billion, three hundred sixty-eight million, three hundred forty-four thousand, nine hundred ninety-two".