40442314123400 has 192 divisors, whose sum is σ = 113128052198400. Its totient is φ = 13134849096960.

The previous prime is 40442314123399. The next prime is 40442314123427. The reversal of 40442314123400 is 432141324404.

It is a super-2 number, since 2×40442314123400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289417949 + ... + 289557651.

It is an arithmetic number, because the mean of its divisors is an integer number (589208605200).

Almost surely, 2^{40442314123400} is an apocalyptic number.

40442314123400 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 40442314123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56564026099200).

40442314123400 is an abundant number, since it is smaller than the sum of its proper divisors (72685738075000).

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

40442314123400 is a wasteful number, since it uses less digits than its factorization.

40442314123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150628 (or 150619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 40442314123400 its reverse (432141324404), we get a palindrome (40874455447804).

The spelling of 40442314123400 in words is "forty trillion, four hundred forty-two billion, three hundred fourteen million, one hundred twenty-three thousand, four hundred".