40106118413088 has 864 divisors, whose sum is σ = 151664630448240. Its totient is φ = 9930099916800.

The previous prime is 40106118413077. The next prime is 40106118413093. The reversal of 40106118413088 is 88031481160104.

40106118413088 is a `hidden beast` number, since 4 + 0 + 10 + 611 + 8 + 4 + 13 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36341944151184 + 3764174261904 = 6028428^2 + 1940148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1250603518 + ... + 1250635586.

Almost surely, 2^{40106118413088} is an apocalyptic number.

40106118413088 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 40106118413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75832315224120).

40106118413088 is an abundant number, since it is smaller than the sum of its proper divisors (111558512035152).

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

40106118413088 is a wasteful number, since it uses less digits than its factorization.

40106118413088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32530 (or 32512 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 40106118413088 in words is "forty trillion, one hundred six billion, one hundred eighteen million, four hundred thirteen thousand, eighty-eight".