40355020800 has 720 divisors, whose sum is σ = 153585482400. Its totient is φ = 10380902400.

The previous prime is 40355020757. The next prime is 40355020807. The reversal of 40355020800 is 802055304.

40355020800 is a `hidden beast` number, since 403 + 5 + 50 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40355020807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453427156 + ... + 453427244.

It is an arithmetic number, because the mean of its divisors is an integer number (213313170).

Almost surely, 2^40355020800 is an apocalyptic number.

40355020800 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 40355020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76792741200).

40355020800 is an abundant number, since it is smaller than the sum of its proper divisors (113230461600).

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

40355020800 is an equidigital number, since it uses as much as digits as its factorization.

40355020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 40355020800 in words is "forty billion, three hundred fifty-five million, twenty thousand, eight hundred".