40381400280320 has 144 divisors (see below), whose sum is σ = 105568808200128. Its totient is φ = 14677263237120.

The previous prime is 40381400280317. The next prime is 40381400280329. The reversal of 40381400280320 is 2308200418304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40381400280329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29417927 + ... + 30759993.

It is an arithmetic number, because the mean of its divisors is an integer number (733116723612).

Almost surely, 2^{40381400280320} is an apocalyptic number.

40381400280320 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 40381400280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52784404100064).

40381400280320 is an abundant number, since it is smaller than the sum of its proper divisors (65187407919808).

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

40381400280320 is a wasteful number, since it uses less digits than its factorization.

40381400280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344236 (or 1344222 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 40381400280320 its reverse (2308200418304), we get a palindrome (42689600698624).

The spelling of 40381400280320 in words is "forty trillion, three hundred eighty-one billion, four hundred million, two hundred eighty thousand, three hundred twenty".