40851532800 has 792 divisors, whose sum is σ = 164645024544. Its totient is φ = 9602334720.

The previous prime is 40851532759. The next prime is 40851532801. The reversal of 40851532800 is 823515804.

It is a happy number.

40851532800 is a `hidden beast` number, since 40 + 8 + 5 + 1 + 532 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (40851532801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 68889304 + ... + 68889896.

It is an arithmetic number, because the mean of its divisors is an integer number (207885132).

Almost surely, 2^40851532800 is an apocalyptic number.

40851532800 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 40851532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82322512272).

40851532800 is an abundant number, since it is smaller than the sum of its proper divisors (123793491744).

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

40851532800 is a wasteful number, since it uses less digits than its factorization.

40851532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40851532800 in words is "forty billion, eight hundred fifty-one million, five hundred thirty-two thousand, eight hundred".