40769688960 has 1024 divisors, whose sum is σ = 193952102400. Its totient is φ = 7816642560.

The previous prime is 40769688959. The next prime is 40769688997. The reversal of 40769688960 is 6988696704.

40769688960 is a `hidden beast` number, since 407 + 6 + 96 + 8 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 17296102 + ... + 17298458.

It is an arithmetic number, because the mean of its divisors is an integer number (189406350).

Almost surely, 2^40769688960 is an apocalyptic number.

40769688960 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 40769688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96976051200).

40769688960 is an abundant number, since it is smaller than the sum of its proper divisors (153182413440).

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

40769688960 is a wasteful number, since it uses less digits than its factorization.

40769688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 40769688960 in words is "forty billion, seven hundred sixty-nine million, six hundred eighty-eight thousand, nine hundred sixty".