40142263105620 has 144 divisors (see below), whose sum is σ = 131179464758160. Its totient is φ = 9877550082048.

The previous prime is 40142263105619. The next prime is 40142263105627. The reversal of 40142263105620 is 2650136224104.

40142263105620 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 26 + 3 + 1 + 0 + 5 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 731414931984 + 39410848173636 = 855228^2 + 6277806^2 .

It is a super-2 number, since 2×40142263105620² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142263105627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3242802 + ... + 9528918.

It is an arithmetic number, because the mean of its divisors is an integer number (910968505265).

Almost surely, 2^{40142263105620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142263105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65589732379080).

40142263105620 is an abundant number, since it is smaller than the sum of its proper divisors (91037201652540).

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

40142263105620 is a wasteful number, since it uses less digits than its factorization.

40142263105620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288874 (or 6288869 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 40142263105620 its reverse (2650136224104), we get a palindrome (42792399329724).

The spelling of 40142263105620 in words is "forty trillion, one hundred forty-two billion, two hundred sixty-three million, one hundred five thousand, six hundred twenty".