40507728300 has 648 divisors, whose sum is σ = 147191204160. Its totient is φ = 9286617600.

The previous prime is 40507728269. The next prime is 40507728301. The reversal of 40507728300 is 382770504.

40507728300 is a `hidden beast` number, since 4 + 0 + 507 + 72 + 83 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507728301) 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 215 ways as a sum of consecutive naturals, for example, 309219235 + ... + 309219365.

It is an arithmetic number, because the mean of its divisors is an integer number (227146920).

Almost surely, 2^40507728300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40507728300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73595602080).

40507728300 is an abundant number, since it is smaller than the sum of its proper divisors (106683475860).

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

40507728300 is a wasteful number, since it uses less digits than its factorization.

40507728300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 40507728300 in words is "forty billion, five hundred seven million, seven hundred twenty-eight thousand, three hundred".