40618816000 has 320 divisors, whose sum is σ = 117477195264. Its totient is φ = 13719552000.

The previous prime is 40618815973. The next prime is 40618816013. The reversal of 40618816000 is 61881604.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31807362 + ... + 31808638.

Almost surely, 2^40618816000 is an apocalyptic number.

40618816000 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 40618816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58738597632).

40618816000 is an abundant number, since it is smaller than the sum of its proper divisors (76858379264).

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

40618816000 is an equidigital number, since it uses as much as digits as its factorization.

40618816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 40618816000 in words is "forty billion, six hundred eighteen million, eight hundred sixteen thousand".