40336670792880 has 1440 divisors, whose sum is σ = 175325521662720. Its totient is φ = 8215754158080.

The previous prime is 40336670792813. The next prime is 40336670792881. The reversal of 40336670792880 is 8829707663304.

40336670792880 is a `hidden beast` number, since 40 + 3 + 366 + 70 + 7 + 92 + 8 + 80 = 666.

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 (40336670792881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8540474199 + ... + 8540478921.

It is an arithmetic number, because the mean of its divisors is an integer number (121753834488).

Almost surely, 2^{40336670792880} is an apocalyptic number.

40336670792880 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 40336670792880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87662760831360).

40336670792880 is an abundant number, since it is smaller than the sum of its proper divisors (134988850869840).

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

40336670792880 is a wasteful number, since it uses less digits than its factorization.

40336670792880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 40336670792880 in words is "forty trillion, three hundred thirty-six billion, six hundred seventy million, seven hundred ninety-two thousand, eight hundred eighty".