40608326782080 has 640 divisors, whose sum is σ = 148469076360000. Its totient is φ = 10573782736896.

The previous prime is 40608326782063. The next prime is 40608326782237. The reversal of 40608326782080 is 8028762380604.

40608326782080 is a `hidden beast` number, since 4 + 0 + 608 + 3 + 2 + 6 + 7 + 8 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 455680887 + ... + 455769993.

Almost surely, 2^{40608326782080} is an apocalyptic number.

40608326782080 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 40608326782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74234538180000).

40608326782080 is an abundant number, since it is smaller than the sum of its proper divisors (107860749577920).

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

40608326782080 is a wasteful number, since it uses less digits than its factorization.

40608326782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89346 (or 89325 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40608326782080 in words is "forty trillion, six hundred eight billion, three hundred twenty-six million, seven hundred eighty-two thousand, eighty".