40081657728 has 128 divisors (see below), whose sum is σ = 124644522240. Its totient is φ = 11172556800.

The previous prime is 40081657697. The next prime is 40081657747. The reversal of 40081657728 is 82775618004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71638 + ... + 292053.

It is an arithmetic number, because the mean of its divisors is an integer number (973785330).

Almost surely, 2^40081657728 is an apocalyptic number.

40081657728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40081657728 is an abundant number, since it is smaller than the sum of its proper divisors (84562864512).

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

40081657728 is a wasteful number, since it uses less digits than its factorization.

40081657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363756 (or 363744 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 40081657728 in words is "forty billion, eighty-one million, six hundred fifty-seven thousand, seven hundred twenty-eight".