40101151507208 has 256 divisors, whose sum is σ = 88998061824000. Its totient is φ = 16745348505600.

The previous prime is 40101151507199. The next prime is 40101151507213. The reversal of 40101151507208 is 80270515110104.

It is a Cunningham number, because it is equal to 6332547²-1.

It is an unprimeable number.

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, 7383748253 + ... + 7383753683.

It is an arithmetic number, because the mean of its divisors is an integer number (347648679000).

Almost surely, 2^{40101151507208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101151507208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44499030912000).

40101151507208 is an abundant number, since it is smaller than the sum of its proper divisors (48896910316792).

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

40101151507208 is a wasteful number, since it uses less digits than its factorization.

40101151507208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476 (or 6472 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 35.

The spelling of 40101151507208 in words is "forty trillion, one hundred one billion, one hundred fifty-one million, five hundred seven thousand, two hundred eight".