40308098688 has 640 divisors, whose sum is σ = 145639549440. Its totient is φ = 10898841600.

The previous prime is 40308098617. The next prime is 40308098717. The reversal of 40308098688 is 88689080304.

40308098688 is a `hidden beast` number, since 403 + 0 + 80 + 9 + 86 + 88 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45960906 + ... + 45961782.

It is an arithmetic number, because the mean of its divisors is an integer number (227561796).

Almost surely, 2^40308098688 is an apocalyptic number.

40308098688 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 40308098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72819774720).

40308098688 is an abundant number, since it is smaller than the sum of its proper divisors (105331450752).

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

40308098688 is a wasteful number, since it uses less digits than its factorization.

40308098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 40308098688 in words is "forty billion, three hundred eight million, ninety-eight thousand, six hundred eighty-eight".