40291708616208 has 320 divisors, whose sum is σ = 138539079598080. Its totient is φ = 10962015939072.

The previous prime is 40291708616207. The next prime is 40291708616267. The reversal of 40291708616208 is 80261680719204.

It is a happy number.

40291708616208 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 1 + 7 + 0 + 8 + 6 + 1 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40291708616207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14211210 + ... + 16808982.

It is an arithmetic number, because the mean of its divisors is an integer number (432934623744).

Almost surely, 2^{40291708616208} is an apocalyptic number.

40291708616208 is a gapful number since it is divisible by the number (48) 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 40291708616208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69269539799040).

40291708616208 is an abundant number, since it is smaller than the sum of its proper divisors (98247370981872).

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

40291708616208 is a wasteful number, since it uses less digits than its factorization.

40291708616208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598043 (or 2598031 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 40291708616208 in words is "forty trillion, two hundred ninety-one billion, seven hundred eight million, six hundred sixteen thousand, two hundred eight".