40227840000000 has 1360 divisors, whose sum is σ = 151780853432208. Its totient is φ = 10616832000000.

The previous prime is 40227839999989. The next prime is 40227840000053. The reversal of 40227840000000 is 4872204.

It can be written as a sum of positive squares in 8 ways, for example, as 30220791054336 + 10007048945664 = 5497344^2 + 3163392^2 .

It is a super-2 number, since 2×40227840000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 414719999952 + ... + 414720000048.

Almost surely, 2^{40227840000000} is an apocalyptic number.

40227840000000 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 40227840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75890426716104).

40227840000000 is an abundant number, since it is smaller than the sum of its proper divisors (111553013432208).

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

40227840000000 is an frugal number, since it uses more digits than its factorization.

40227840000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 40227840000000 its reverse (4872204), we get a palindrome (40227844872204).

The spelling of 40227840000000 in words is "forty trillion, two hundred twenty-seven billion, eight hundred forty million", and thus it is an aban number.