40798242681600 has 216 divisors, whose sum is σ = 134888882739520. Its totient is φ = 10859639132160.

The previous prime is 40798242681541. The next prime is 40798242681601. The reversal of 40798242681600 is 618624289704.

It is not an unprimeable number, because it can be changed into a prime (40798242681601) 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 23 ways as a sum of consecutive naturals, for example, 8560071 + ... + 12444729.

Almost surely, 2^{40798242681600} is an apocalyptic number.

40798242681600 is a gapful number since it is divisible by the number (40) 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 40798242681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67444441369760).

40798242681600 is an abundant number, since it is smaller than the sum of its proper divisors (94090640057920).

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

40798242681600 is a wasteful number, since it uses less digits than its factorization.

40798242681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885235 (or 3885216 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 40798242681600 in words is "forty trillion, seven hundred ninety-eight billion, two hundred forty-two million, six hundred eighty-one thousand, six hundred".