40116326400 has 936 divisors, whose sum is σ = 158446704000. Its totient is φ = 9661317120.

The previous prime is 40116326387. The next prime is 40116326417. The reversal of 40116326400 is 462361104.

40116326400 is a `hidden beast` number, since 4 + 0 + 1 + 16 + 3 + 2 + 640 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 507801561 + ... + 507801639.

Almost surely, 2^40116326400 is an apocalyptic number.

40116326400 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 40116326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79223352000).

40116326400 is an abundant number, since it is smaller than the sum of its proper divisors (118330377600).

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

40116326400 is a wasteful number, since it uses less digits than its factorization.

40116326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 40116326400 its reverse (462361104), we get a palindrome (40578687504).

The spelling of 40116326400 in words is "forty billion, one hundred sixteen million, three hundred twenty-six thousand, four hundred".