40988388018240 has 896 divisors, whose sum is σ = 162623128550400. Its totient is φ = 9642950000640.

The previous prime is 40988388018209. The next prime is 40988388018241. The reversal of 40988388018240 is 4281088388904.

40988388018240 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 8 + 388 + 0 + 1 + 8 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (40988388018241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3567614416 + ... + 3567625904.

It is an arithmetic number, because the mean of its divisors is an integer number (181499027400).

Almost surely, 2^{40988388018240} is an apocalyptic number.

40988388018240 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 40988388018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81311564275200).

40988388018240 is an abundant number, since it is smaller than the sum of its proper divisors (121634740532160).

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

40988388018240 is a wasteful number, since it uses less digits than its factorization.

40988388018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 40988388018240 in words is "forty trillion, nine hundred eighty-eight billion, three hundred eighty-eight million, eighteen thousand, two hundred forty".