40844338440192 has 864 divisors, whose sum is σ = 143178624388800. Its totient is φ = 10957940195328.

The previous prime is 40844338440167. The next prime is 40844338440193. The reversal of 40844338440192 is 29104483344804.

40844338440192 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 4 + 3 + 3 + 8 + 440 + 192 = 666.

It is not an unprimeable number, because it can be changed into a prime (40844338440193) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39539533308 + ... + 39539534340.

It is an arithmetic number, because the mean of its divisors is an integer number (165716000450).

Almost surely, 2^{40844338440192} is an apocalyptic number.

40844338440192 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 40844338440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71589312194400).

40844338440192 is an abundant number, since it is smaller than the sum of its proper divisors (102334285948608).

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

40844338440192 is a wasteful number, since it uses less digits than its factorization.

40844338440192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 40844338440192 in words is "forty trillion, eight hundred forty-four billion, three hundred thirty-eight million, four hundred forty thousand, one hundred ninety-two".