40427215140288 has 448 divisors, whose sum is σ = 114581813544576. Its totient is φ = 12559712256000.

The previous prime is 40427215140287. The next prime is 40427215140311. The reversal of 40427215140288 is 88204151272404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40427215140287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12028327728 + ... + 12028331088.

It is an arithmetic number, because the mean of its divisors is an integer number (255762976662).

Almost surely, 2^{40427215140288} is an apocalyptic number.

40427215140288 is a gapful number since it is divisible by the number (48) 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 40427215140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57290906772288).

40427215140288 is an abundant number, since it is smaller than the sum of its proper divisors (74154598404288).

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

40427215140288 is a wasteful number, since it uses less digits than its factorization.

40427215140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 40427215140288 in words is "forty trillion, four hundred twenty-seven billion, two hundred fifteen million, one hundred forty thousand, two hundred eighty-eight".