40284316800 has 1152 divisors, whose sum is σ = 186456816000. Its totient is φ = 8042250240.

The previous prime is 40284316789. The next prime is 40284316801. The reversal of 40284316800 is 861348204.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×40284316800³ (a number of 33 digits) contains 333 as substring.

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 (40284316801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49794796 + ... + 49795604.

It is an arithmetic number, because the mean of its divisors is an integer number (161854875).

Almost surely, 2^40284316800 is an apocalyptic number.

40284316800 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 40284316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93228408000).

40284316800 is an abundant number, since it is smaller than the sum of its proper divisors (146172499200).

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

40284316800 is a wasteful number, since it uses less digits than its factorization.

40284316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40284316800 in words is "forty billion, two hundred eighty-four million, three hundred sixteen thousand, eight hundred".