40469754600 has 1152 divisors, whose sum is σ = 167738014080. Its totient is φ = 8957952000.

The previous prime is 40469754593. The next prime is 40469754601. The reversal of 40469754600 is 645796404.

40469754600 is a `hidden beast` number, since 40 + 4 + 69 + 7 + 546 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40469754601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 554380164 + ... + 554380236.

It is an arithmetic number, because the mean of its divisors is an integer number (145605915).

Almost surely, 2^40469754600 is an apocalyptic number.

40469754600 is a gapful number since it is divisible by the number (40) 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 40469754600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83869007040).

40469754600 is an abundant number, since it is smaller than the sum of its proper divisors (127268259480).

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

40469754600 is a wasteful number, since it uses less digits than its factorization.

40469754600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40469754600 in words is "forty billion, four hundred sixty-nine million, seven hundred fifty-four thousand, six hundred".