40728672768 has 160 divisors (see below), whose sum is σ = 128281253760. Its totient is φ = 11235409920.

The previous prime is 40728672727. The next prime is 40728672781. The reversal of 40728672768 is 86727682704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246498 + ... + 377118.

It is an arithmetic number, because the mean of its divisors is an integer number (801757836).

Almost surely, 2^40728672768 is an apocalyptic number.

40728672768 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 40728672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64140626880).

40728672768 is an abundant number, since it is smaller than the sum of its proper divisors (87552580992).

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

40728672768 is a wasteful number, since it uses less digits than its factorization.

40728672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130678 (or 130662 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 40728672768 in words is "forty billion, seven hundred twenty-eight million, six hundred seventy-two thousand, seven hundred sixty-eight".