40385217600 has 672 divisors, whose sum is σ = 181210346240. Its totient is φ = 8520007680.

The previous prime is 40385217599. The next prime is 40385217623. The reversal of 40385217600 is 671258304.

40385217600 is a `hidden beast` number, since 4 + 0 + 38 + 5 + 2 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3926064 + ... + 3936336.

Almost surely, 2^40385217600 is an apocalyptic number.

40385217600 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 40385217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90605173120).

40385217600 is an abundant number, since it is smaller than the sum of its proper divisors (140825128640).

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

40385217600 is a wasteful number, since it uses less digits than its factorization.

40385217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40385217600 in words is "forty billion, three hundred eighty-five million, two hundred seventeen thousand, six hundred".