40778569728 has 576 divisors, whose sum is σ = 136835244000. Its totient is φ = 11662589952.

The previous prime is 40778569679. The next prime is 40778569801. The reversal of 40778569728 is 82796587704.

40778569728 is a `hidden beast` number, since 40 + 7 + 7 + 8 + 569 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40778569728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769406950 + ... + 769407002.

Almost surely, 2^40778569728 is an apocalyptic number.

40778569728 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 40778569728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68417622000).

40778569728 is an abundant number, since it is smaller than the sum of its proper divisors (96056674272).

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

40778569728 is a wasteful number, since it uses less digits than its factorization.

40778569728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 40778569728 in words is "forty billion, seven hundred seventy-eight million, five hundred sixty-nine thousand, seven hundred twenty-eight".