40020013247760 has 960 divisors, whose sum is σ = 172765442304000. Its totient is φ = 8439952453632.

The previous prime is 40020013247713. The next prime is 40020013247761. The reversal of 40020013247760 is 6774231002004.

40020013247760 is a `hidden beast` number, since 4 + 0 + 0 + 200 + 1 + 324 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40020013247761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3848443041 + ... + 3848453439.

It is an arithmetic number, because the mean of its divisors is an integer number (179964002400).

Almost surely, 2^{40020013247760} is an apocalyptic number.

40020013247760 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 40020013247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86382721152000).

40020013247760 is an abundant number, since it is smaller than the sum of its proper divisors (132745429056240).

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

40020013247760 is a wasteful number, since it uses less digits than its factorization.

40020013247760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13245 (or 13226 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 40020013247760 its reverse (6774231002004), we get a palindrome (46794244249764).

The spelling of 40020013247760 in words is "forty trillion, twenty billion, thirteen million, two hundred forty-seven thousand, seven hundred sixty".