40468771728 has 720 divisors, whose sum is σ = 152931033216. Its totient is φ = 9701130240.

The previous prime is 40468771697. The next prime is 40468771741. The reversal of 40468771728 is 82717786404.

40468771728 is a `hidden beast` number, since 4 + 0 + 468 + 7 + 7 + 172 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233923450 + ... + 233923622.

Almost surely, 2^40468771728 is an apocalyptic number.

40468771728 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 40468771728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76465516608).

40468771728 is an abundant number, since it is smaller than the sum of its proper divisors (112462261488).

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

40468771728 is a wasteful number, since it uses less digits than its factorization.

40468771728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 40468771728 in words is "forty billion, four hundred sixty-eight million, seven hundred seventy-one thousand, seven hundred twenty-eight".