40067334800 has 120 divisors (see below), whose sum is σ = 97962379560. Its totient is φ = 15745536000.

The previous prime is 40067334751. The next prime is 40067334821. The reversal of 40067334800 is 843376004.

It can be written as a sum of positive squares in 12 ways, for example, as 33275597056 + 6791737744 = 182416^2 + 82412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7852250 + ... + 7857350.

It is an arithmetic number, because the mean of its divisors is an integer number (816353163).

Almost surely, 2^40067334800 is an apocalyptic number.

40067334800 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 40067334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981189780).

40067334800 is an abundant number, since it is smaller than the sum of its proper divisors (57895044760).

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

40067334800 is a wasteful number, since it uses less digits than its factorization.

40067334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 40067334800 in words is "forty billion, sixty-seven million, three hundred thirty-four thousand, eight hundred".