40440018278400 has 1152 divisors, whose sum is σ = 147465844081920. Its totient is φ = 9714991104000.

The previous prime is 40440018278381. The next prime is 40440018278431. The reversal of 40440018278400 is 487281004404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22330213495 + ... + 22330215305.

It is an arithmetic number, because the mean of its divisors is an integer number (128008545210).

Almost surely, 2^{40440018278400} is an apocalyptic number.

40440018278400 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 40440018278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73732922040960).

40440018278400 is an abundant number, since it is smaller than the sum of its proper divisors (107025825803520).

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

40440018278400 is a wasteful number, since it uses less digits than its factorization.

40440018278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 42.

The spelling of 40440018278400 in words is "forty trillion, four hundred forty billion, eighteen million, two hundred seventy-eight thousand, four hundred".