40754665728 has 216 divisors, whose sum is σ = 140196406560. Its totient is φ = 11644093440.

The previous prime is 40754665723. The next prime is 40754665739. The reversal of 40754665728 is 82756645704.

It is a happy number.

40754665728 is a `hidden beast` number, since 4 + 0 + 7 + 5 + 4 + 66 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40754665723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278523 + ... + 398853.

Almost surely, 2^40754665728 is an apocalyptic number.

40754665728 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 40754665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70098203280).

40754665728 is an abundant number, since it is smaller than the sum of its proper divisors (99441740832).

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

40754665728 is a wasteful number, since it uses less digits than its factorization.

40754665728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120370 (or 120343 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 40754665728 in words is "forty billion, seven hundred fifty-four million, six hundred sixty-five thousand, seven hundred twenty-eight".